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Finding the Fourth Proportional to 16,547.38, 22,826.83 and 10,248.82

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Solution

The fourth proportional to 16,547.38, 22,826.83 and 10,248.82 is: 14,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.38 : 22,826.83 = 10,248.82 : x
  2. Step 2: Convert to fraction form
    16,547.38/22,826.83 = 10,248.82/x
  3. Step 3: Cross multiply
    16,547.38x = 22,826.83 × 10,248.82
  4. Step 4: Simplify right side
    16,547.38x = 233,948,071.84
  5. Step 5: Solve for x
    x = 233,948,071.84/16,547.38
  6. Step 6: Final answer
    x = 14,138.07

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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.