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Finding the Fourth Proportional to 25,710.56, 38,551.98 and 13,870.68

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Solution

The fourth proportional to 25,710.56, 38,551.98 and 13,870.68 is: 20,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.56 : 38,551.98 = 13,870.68 : x
  2. Step 2: Convert to fraction form
    25,710.56/38,551.98 = 13,870.68/x
  3. Step 3: Cross multiply
    25,710.56x = 38,551.98 × 13,870.68
  4. Step 4: Simplify right side
    25,710.56x = 534,742,177.95
  5. Step 5: Solve for x
    x = 534,742,177.95/25,710.56
  6. Step 6: Final answer
    x = 20,798.54

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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.