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Finding the Fourth Proportional to 23,748.71, 35,609.90 and 9,718.59

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Solution

The fourth proportional to 23,748.71, 35,609.90 and 9,718.59 is: 14,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.71 : 35,609.90 = 9,718.59 : x
  2. Step 2: Convert to fraction form
    23,748.71/35,609.90 = 9,718.59/x
  3. Step 3: Cross multiply
    23,748.71x = 35,609.90 × 9,718.59
  4. Step 4: Simplify right side
    23,748.71x = 346,078,042.34
  5. Step 5: Solve for x
    x = 346,078,042.34/23,748.71
  6. Step 6: Final answer
    x = 14,572.50

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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.