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Finding the Fourth Proportional to 25,585.84, 38,386.52 and 13,114.71

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Solution

The fourth proportional to 25,585.84, 38,386.52 and 13,114.71 is: 19,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.84 : 38,386.52 = 13,114.71 : x
  2. Step 2: Convert to fraction form
    25,585.84/38,386.52 = 13,114.71/x
  3. Step 3: Cross multiply
    25,585.84x = 38,386.52 × 13,114.71
  4. Step 4: Simplify right side
    25,585.84x = 503,428,077.71
  5. Step 5: Solve for x
    x = 503,428,077.71/25,585.84
  6. Step 6: Final answer
    x = 19,676.04

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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.