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Finding the Fourth Proportional to 16,693.60, 25,053 and 11,416

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Solution

The fourth proportional to 16,693.60, 25,053 and 11,416 is: 17,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.60 : 25,053 = 11,416 : x
  2. Step 2: Convert to fraction form
    16,693.60/25,053 = 11,416/x
  3. Step 3: Cross multiply
    16,693.60x = 25,053 × 11,416
  4. Step 4: Simplify right side
    16,693.60x = 286,005,048
  5. Step 5: Solve for x
    x = 286,005,048/16,693.60
  6. Step 6: Final answer
    x = 17,132.62

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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.