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Finding the Fourth Proportional to 14,600.10, 20,127.14 and 10,401.06

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Solution

The fourth proportional to 14,600.10, 20,127.14 and 10,401.06 is: 14,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.10 : 20,127.14 = 10,401.06 : x
  2. Step 2: Convert to fraction form
    14,600.10/20,127.14 = 10,401.06/x
  3. Step 3: Cross multiply
    14,600.10x = 20,127.14 × 10,401.06
  4. Step 4: Simplify right side
    14,600.10x = 209,343,590.77
  5. Step 5: Solve for x
    x = 209,343,590.77/14,600.10
  6. Step 6: Final answer
    x = 14,338.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.