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Finding the Fourth Proportional to 14,594, 20,178.12 and 13,941.20

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Solution

The fourth proportional to 14,594, 20,178.12 and 13,941.20 is: 19,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594 : 20,178.12 = 13,941.20 : x
  2. Step 2: Convert to fraction form
    14,594/20,178.12 = 13,941.20/x
  3. Step 3: Cross multiply
    14,594x = 20,178.12 × 13,941.20
  4. Step 4: Simplify right side
    14,594x = 281,307,206.54
  5. Step 5: Solve for x
    x = 281,307,206.54/14,594
  6. Step 6: Final answer
    x = 19,275.54

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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.