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Finding the Fourth Proportional to 25,043.72, 34,557.94 and 14,970.16

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Solution

The fourth proportional to 25,043.72, 34,557.94 and 14,970.16 is: 20,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,043.72 : 34,557.94 = 14,970.16 : x
  2. Step 2: Convert to fraction form
    25,043.72/34,557.94 = 14,970.16/x
  3. Step 3: Cross multiply
    25,043.72x = 34,557.94 × 14,970.16
  4. Step 4: Simplify right side
    25,043.72x = 517,337,891.07
  5. Step 5: Solve for x
    x = 517,337,891.07/25,043.72
  6. Step 6: Final answer
    x = 20,657.39

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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.