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Finding the Fourth Proportional to 23,869.48, 32,941.02 and 13,259.20

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Solution

The fourth proportional to 23,869.48, 32,941.02 and 13,259.20 is: 18,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869.48 : 32,941.02 = 13,259.20 : x
  2. Step 2: Convert to fraction form
    23,869.48/32,941.02 = 13,259.20/x
  3. Step 3: Cross multiply
    23,869.48x = 32,941.02 × 13,259.20
  4. Step 4: Simplify right side
    23,869.48x = 436,771,572.38
  5. Step 5: Solve for x
    x = 436,771,572.38/23,869.48
  6. Step 6: Final answer
    x = 18,298.33

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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.