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Finding the Fourth Proportional to 15,184.96, 22,780.74 and 4,655.02

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Solution

The fourth proportional to 15,184.96, 22,780.74 and 4,655.02 is: 6,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.96 : 22,780.74 = 4,655.02 : x
  2. Step 2: Convert to fraction form
    15,184.96/22,780.74 = 4,655.02/x
  3. Step 3: Cross multiply
    15,184.96x = 22,780.74 × 4,655.02
  4. Step 4: Simplify right side
    15,184.96x = 106,044,800.31
  5. Step 5: Solve for x
    x = 106,044,800.31/15,184.96
  6. Step 6: Final answer
    x = 6,983.54

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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.