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Finding the Fourth Proportional to 15,598.96, 23,372.04 and 9,430

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Solution

The fourth proportional to 15,598.96, 23,372.04 and 9,430 is: 14,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.96 : 23,372.04 = 9,430 : x
  2. Step 2: Convert to fraction form
    15,598.96/23,372.04 = 9,430/x
  3. Step 3: Cross multiply
    15,598.96x = 23,372.04 × 9,430
  4. Step 4: Simplify right side
    15,598.96x = 220,398,337.20
  5. Step 5: Solve for x
    x = 220,398,337.20/15,598.96
  6. Step 6: Final answer
    x = 14,129.04

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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.