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Finding the Fourth Proportional to 15,349.91, 23,024.86 and 6,466.64

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Solution

The fourth proportional to 15,349.91, 23,024.86 and 6,466.64 is: 9,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.91 : 23,024.86 = 6,466.64 : x
  2. Step 2: Convert to fraction form
    15,349.91/23,024.86 = 6,466.64/x
  3. Step 3: Cross multiply
    15,349.91x = 23,024.86 × 6,466.64
  4. Step 4: Simplify right side
    15,349.91x = 148,893,349.38
  5. Step 5: Solve for x
    x = 148,893,349.38/15,349.91
  6. Step 6: Final answer
    x = 9,699.95

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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.