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Finding the Fourth Proportional to 15,209.83, 22,810.06 and 5,346.78

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Solution

The fourth proportional to 15,209.83, 22,810.06 and 5,346.78 is: 8,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.83 : 22,810.06 = 5,346.78 : x
  2. Step 2: Convert to fraction form
    15,209.83/22,810.06 = 5,346.78/x
  3. Step 3: Cross multiply
    15,209.83x = 22,810.06 × 5,346.78
  4. Step 4: Simplify right side
    15,209.83x = 121,960,372.61
  5. Step 5: Solve for x
    x = 121,960,372.61/15,209.83
  6. Step 6: Final answer
    x = 8,018.52

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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.