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Finding the Fourth Proportional to 25,386.50, 38,097.04 and 15,263.66

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Solution

The fourth proportional to 25,386.50, 38,097.04 and 15,263.66 is: 22,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.50 : 38,097.04 = 15,263.66 : x
  2. Step 2: Convert to fraction form
    25,386.50/38,097.04 = 15,263.66/x
  3. Step 3: Cross multiply
    25,386.50x = 38,097.04 × 15,263.66
  4. Step 4: Simplify right side
    25,386.50x = 581,500,265.57
  5. Step 5: Solve for x
    x = 581,500,265.57/25,386.50
  6. Step 6: Final answer
    x = 22,905.89

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Why These Related Problems?

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