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Finding the Fourth Proportional to 24,886.72, 37,320.36 and 11,026

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Solution

The fourth proportional to 24,886.72, 37,320.36 and 11,026 is: 16,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886.72 : 37,320.36 = 11,026 : x
  2. Step 2: Convert to fraction form
    24,886.72/37,320.36 = 11,026/x
  3. Step 3: Cross multiply
    24,886.72x = 37,320.36 × 11,026
  4. Step 4: Simplify right side
    24,886.72x = 411,494,289.36
  5. Step 5: Solve for x
    x = 411,494,289.36/24,886.72
  6. Step 6: Final answer
    x = 16,534.69

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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.