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Finding the Fourth Proportional to 23,130.32, 34,699.80 and 9,280.40

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Solution

The fourth proportional to 23,130.32, 34,699.80 and 9,280.40 is: 13,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.32 : 34,699.80 = 9,280.40 : x
  2. Step 2: Convert to fraction form
    23,130.32/34,699.80 = 9,280.40/x
  3. Step 3: Cross multiply
    23,130.32x = 34,699.80 × 9,280.40
  4. Step 4: Simplify right side
    23,130.32x = 322,028,023.92
  5. Step 5: Solve for x
    x = 322,028,023.92/23,130.32
  6. Step 6: Final answer
    x = 13,922.33

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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.