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Finding the Fourth Proportional to 16,488.47, 24,746.00 and 9,377.08

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Solution

The fourth proportional to 16,488.47, 24,746.00 and 9,377.08 is: 14,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.47 : 24,746.00 = 9,377.08 : x
  2. Step 2: Convert to fraction form
    16,488.47/24,746.00 = 9,377.08/x
  3. Step 3: Cross multiply
    16,488.47x = 24,746.00 × 9,377.08
  4. Step 4: Simplify right side
    16,488.47x = 232,045,051.06
  5. Step 5: Solve for x
    x = 232,045,051.06/16,488.47
  6. Step 6: Final answer
    x = 14,073.17

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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.