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Finding the Fourth Proportional to 25,686.96, 38,527.68 and 17,420.04

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Solution

The fourth proportional to 25,686.96, 38,527.68 and 17,420.04 is: 26,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.96 : 38,527.68 = 17,420.04 : x
  2. Step 2: Convert to fraction form
    25,686.96/38,527.68 = 17,420.04/x
  3. Step 3: Cross multiply
    25,686.96x = 38,527.68 × 17,420.04
  4. Step 4: Simplify right side
    25,686.96x = 671,153,726.71
  5. Step 5: Solve for x
    x = 671,153,726.71/25,686.96
  6. Step 6: Final answer
    x = 26,128.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.