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Finding the Fourth Proportional to 10,618.71, 15,835.35 and 9,308.54

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Solution

The fourth proportional to 10,618.71, 15,835.35 and 9,308.54 is: 13,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.71 : 15,835.35 = 9,308.54 : x
  2. Step 2: Convert to fraction form
    10,618.71/15,835.35 = 9,308.54/x
  3. Step 3: Cross multiply
    10,618.71x = 15,835.35 × 9,308.54
  4. Step 4: Simplify right side
    10,618.71x = 147,403,909.71
  5. Step 5: Solve for x
    x = 147,403,909.71/10,618.71
  6. Step 6: Final answer
    x = 13,881.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.