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Finding the Fourth Proportional to 23,547.85, 32,496.27 and 12,937.70

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Solution

The fourth proportional to 23,547.85, 32,496.27 and 12,937.70 is: 17,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.85 : 32,496.27 = 12,937.70 : x
  2. Step 2: Convert to fraction form
    23,547.85/32,496.27 = 12,937.70/x
  3. Step 3: Cross multiply
    23,547.85x = 32,496.27 × 12,937.70
  4. Step 4: Simplify right side
    23,547.85x = 420,426,992.38
  5. Step 5: Solve for x
    x = 420,426,992.38/23,547.85
  6. Step 6: Final answer
    x = 17,854.16

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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.