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Finding the Fourth Proportional to 16,114.74, 22,237.74 and 9,041.55

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Solution

The fourth proportional to 16,114.74, 22,237.74 and 9,041.55 is: 12,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.74 : 22,237.74 = 9,041.55 : x
  2. Step 2: Convert to fraction form
    16,114.74/22,237.74 = 9,041.55/x
  3. Step 3: Cross multiply
    16,114.74x = 22,237.74 × 9,041.55
  4. Step 4: Simplify right side
    16,114.74x = 201,063,638.10
  5. Step 5: Solve for x
    x = 201,063,638.10/16,114.74
  6. Step 6: Final answer
    x = 12,477.00

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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.