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Finding the Fourth Proportional to 23,048.75, 34,565.42 and 9,005.13

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Solution

The fourth proportional to 23,048.75, 34,565.42 and 9,005.13 is: 13,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.75 : 34,565.42 = 9,005.13 : x
  2. Step 2: Convert to fraction form
    23,048.75/34,565.42 = 9,005.13/x
  3. Step 3: Cross multiply
    23,048.75x = 34,565.42 × 9,005.13
  4. Step 4: Simplify right side
    23,048.75x = 311,266,055.58
  5. Step 5: Solve for x
    x = 311,266,055.58/23,048.75
  6. Step 6: Final answer
    x = 13,504.69

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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.