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Finding the Fourth Proportional to 13,402.83, 18,501.85 and 9,385.47

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Solution

The fourth proportional to 13,402.83, 18,501.85 and 9,385.47 is: 12,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.83 : 18,501.85 = 9,385.47 : x
  2. Step 2: Convert to fraction form
    13,402.83/18,501.85 = 9,385.47/x
  3. Step 3: Cross multiply
    13,402.83x = 18,501.85 × 9,385.47
  4. Step 4: Simplify right side
    13,402.83x = 173,648,569.85
  5. Step 5: Solve for x
    x = 173,648,569.85/13,402.83
  6. Step 6: Final answer
    x = 12,956.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.