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Finding the Fourth Proportional to 23,070.16, 34,619.24 and 9,218

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Solution

The fourth proportional to 23,070.16, 34,619.24 and 9,218 is: 13,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.16 : 34,619.24 = 9,218 : x
  2. Step 2: Convert to fraction form
    23,070.16/34,619.24 = 9,218/x
  3. Step 3: Cross multiply
    23,070.16x = 34,619.24 × 9,218
  4. Step 4: Simplify right side
    23,070.16x = 319,120,154.32
  5. Step 5: Solve for x
    x = 319,120,154.32/23,070.16
  6. Step 6: Final answer
    x = 13,832.59

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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.