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Finding the Fourth Proportional to 15,046.64, 22,570.32 and 4,658.48

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Solution

The fourth proportional to 15,046.64, 22,570.32 and 4,658.48 is: 6,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.64 : 22,570.32 = 4,658.48 : x
  2. Step 2: Convert to fraction form
    15,046.64/22,570.32 = 4,658.48/x
  3. Step 3: Cross multiply
    15,046.64x = 22,570.32 × 4,658.48
  4. Step 4: Simplify right side
    15,046.64x = 105,143,384.31
  5. Step 5: Solve for x
    x = 105,143,384.31/15,046.64
  6. Step 6: Final answer
    x = 6,987.83

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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.