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Finding the Fourth Proportional to 15,913.10, 23,869.65 and 15,524.30

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Solution

The fourth proportional to 15,913.10, 23,869.65 and 15,524.30 is: 23,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.10 : 23,869.65 = 15,524.30 : x
  2. Step 2: Convert to fraction form
    15,913.10/23,869.65 = 15,524.30/x
  3. Step 3: Cross multiply
    15,913.10x = 23,869.65 × 15,524.30
  4. Step 4: Simplify right side
    15,913.10x = 370,559,607.50
  5. Step 5: Solve for x
    x = 370,559,607.50/15,913.10
  6. Step 6: Final answer
    x = 23,286.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.