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Finding the Fourth Proportional to 16,486.76, 22,746.20 and 10,521.90

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Solution

The fourth proportional to 16,486.76, 22,746.20 and 10,521.90 is: 14,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.76 : 22,746.20 = 10,521.90 : x
  2. Step 2: Convert to fraction form
    16,486.76/22,746.20 = 10,521.90/x
  3. Step 3: Cross multiply
    16,486.76x = 22,746.20 × 10,521.90
  4. Step 4: Simplify right side
    16,486.76x = 239,333,189.17
  5. Step 5: Solve for x
    x = 239,333,189.17/16,486.76
  6. Step 6: Final answer
    x = 14,516.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.