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Finding the Fourth Proportional to 15,348.80, 23,023.20 and 9,430.40

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Solution

The fourth proportional to 15,348.80, 23,023.20 and 9,430.40 is: 14,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348.80 : 23,023.20 = 9,430.40 : x
  2. Step 2: Convert to fraction form
    15,348.80/23,023.20 = 9,430.40/x
  3. Step 3: Cross multiply
    15,348.80x = 23,023.20 × 9,430.40
  4. Step 4: Simplify right side
    15,348.80x = 217,117,985.28
  5. Step 5: Solve for x
    x = 217,117,985.28/15,348.80
  6. Step 6: Final answer
    x = 14,145.60

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