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Finding the Fourth Proportional to 25,770, 35,562.60 and 14,594.16

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Solution

The fourth proportional to 25,770, 35,562.60 and 14,594.16 is: 20,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770 : 35,562.60 = 14,594.16 : x
  2. Step 2: Convert to fraction form
    25,770/35,562.60 = 14,594.16/x
  3. Step 3: Cross multiply
    25,770x = 35,562.60 × 14,594.16
  4. Step 4: Simplify right side
    25,770x = 519,006,274.42
  5. Step 5: Solve for x
    x = 519,006,274.42/25,770
  6. Step 6: Final answer
    x = 20,139.94

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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.