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Finding the Fourth Proportional to 16,547.59, 22,841 and 10,595.29

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Solution

The fourth proportional to 16,547.59, 22,841 and 10,595.29 is: 14,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.59 : 22,841 = 10,595.29 : x
  2. Step 2: Convert to fraction form
    16,547.59/22,841 = 10,595.29/x
  3. Step 3: Cross multiply
    16,547.59x = 22,841 × 10,595.29
  4. Step 4: Simplify right side
    16,547.59x = 242,007,018.89
  5. Step 5: Solve for x
    x = 242,007,018.89/16,547.59
  6. Step 6: Final answer
    x = 14,624.91

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