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Finding the Fourth Proportional to 11,820.47, 17,730.70 and 11,098.76

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Solution

The fourth proportional to 11,820.47, 17,730.70 and 11,098.76 is: 16,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.47 : 17,730.70 = 11,098.76 : x
  2. Step 2: Convert to fraction form
    11,820.47/17,730.70 = 11,098.76/x
  3. Step 3: Cross multiply
    11,820.47x = 17,730.70 × 11,098.76
  4. Step 4: Simplify right side
    11,820.47x = 196,788,667.53
  5. Step 5: Solve for x
    x = 196,788,667.53/11,820.47
  6. Step 6: Final answer
    x = 16,648.13

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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.