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Finding the Fourth Proportional to 15,312.10, 22,959.92 and 6,298.30

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Solution

The fourth proportional to 15,312.10, 22,959.92 and 6,298.30 is: 9,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.10 : 22,959.92 = 6,298.30 : x
  2. Step 2: Convert to fraction form
    15,312.10/22,959.92 = 6,298.30/x
  3. Step 3: Cross multiply
    15,312.10x = 22,959.92 × 6,298.30
  4. Step 4: Simplify right side
    15,312.10x = 144,608,464.14
  5. Step 5: Solve for x
    x = 144,608,464.14/15,312.10
  6. Step 6: Final answer
    x = 9,444.06

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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.