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Finding the Fourth Proportional to 23,929.10, 35,888.16 and 7,057.76

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Solution

The fourth proportional to 23,929.10, 35,888.16 and 7,057.76 is: 10,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,929.10 : 35,888.16 = 7,057.76 : x
  2. Step 2: Convert to fraction form
    23,929.10/35,888.16 = 7,057.76/x
  3. Step 3: Cross multiply
    23,929.10x = 35,888.16 × 7,057.76
  4. Step 4: Simplify right side
    23,929.10x = 253,290,020.12
  5. Step 5: Solve for x
    x = 253,290,020.12/23,929.10
  6. Step 6: Final answer
    x = 10,585.02

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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.