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Finding the Fourth Proportional to 16,587.78, 24,881.64 and 5,491.50

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Solution

The fourth proportional to 16,587.78, 24,881.64 and 5,491.50 is: 8,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.78 : 24,881.64 = 5,491.50 : x
  2. Step 2: Convert to fraction form
    16,587.78/24,881.64 = 5,491.50/x
  3. Step 3: Cross multiply
    16,587.78x = 24,881.64 × 5,491.50
  4. Step 4: Simplify right side
    16,587.78x = 136,637,526.06
  5. Step 5: Solve for x
    x = 136,637,526.06/16,587.78
  6. Step 6: Final answer
    x = 8,237.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.