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Finding the Fourth Proportional to 12,402.76, 18,587.68 and 9,100.40

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Solution

The fourth proportional to 12,402.76, 18,587.68 and 9,100.40 is: 13,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.76 : 18,587.68 = 9,100.40 : x
  2. Step 2: Convert to fraction form
    12,402.76/18,587.68 = 9,100.40/x
  3. Step 3: Cross multiply
    12,402.76x = 18,587.68 × 9,100.40
  4. Step 4: Simplify right side
    12,402.76x = 169,155,323.07
  5. Step 5: Solve for x
    x = 169,155,323.07/12,402.76
  6. Step 6: Final answer
    x = 13,638.52

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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.