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Finding the Fourth Proportional to 25,406.40, 38,086.56 and 11,547.84

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Solution

The fourth proportional to 25,406.40, 38,086.56 and 11,547.84 is: 17,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.40 : 38,086.56 = 11,547.84 : x
  2. Step 2: Convert to fraction form
    25,406.40/38,086.56 = 11,547.84/x
  3. Step 3: Cross multiply
    25,406.40x = 38,086.56 × 11,547.84
  4. Step 4: Simplify right side
    25,406.40x = 439,817,501.03
  5. Step 5: Solve for x
    x = 439,817,501.03/25,406.40
  6. Step 6: Final answer
    x = 17,311.29

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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.