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Finding the Fourth Proportional to 17,820.50, 24,590.40 and 9,862.52

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Solution

The fourth proportional to 17,820.50, 24,590.40 and 9,862.52 is: 13,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.50 : 24,590.40 = 9,862.52 : x
  2. Step 2: Convert to fraction form
    17,820.50/24,590.40 = 9,862.52/x
  3. Step 3: Cross multiply
    17,820.50x = 24,590.40 × 9,862.52
  4. Step 4: Simplify right side
    17,820.50x = 242,523,311.81
  5. Step 5: Solve for x
    x = 242,523,311.81/17,820.50
  6. Step 6: Final answer
    x = 13,609.23

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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.