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Finding the Fourth Proportional to 16,483.76, 22,747.58 and 9,410.04

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Solution

The fourth proportional to 16,483.76, 22,747.58 and 9,410.04 is: 12,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.76 : 22,747.58 = 9,410.04 : x
  2. Step 2: Convert to fraction form
    16,483.76/22,747.58 = 9,410.04/x
  3. Step 3: Cross multiply
    16,483.76x = 22,747.58 × 9,410.04
  4. Step 4: Simplify right side
    16,483.76x = 214,055,637.70
  5. Step 5: Solve for x
    x = 214,055,637.70/16,483.76
  6. Step 6: Final answer
    x = 12,985.85

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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.