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Finding the Fourth Proportional to 15,718.16, 23,585.34 and 6,959.22

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Solution

The fourth proportional to 15,718.16, 23,585.34 and 6,959.22 is: 10,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.16 : 23,585.34 = 6,959.22 : x
  2. Step 2: Convert to fraction form
    15,718.16/23,585.34 = 6,959.22/x
  3. Step 3: Cross multiply
    15,718.16x = 23,585.34 × 6,959.22
  4. Step 4: Simplify right side
    15,718.16x = 164,135,569.83
  5. Step 5: Solve for x
    x = 164,135,569.83/15,718.16
  6. Step 6: Final answer
    x = 10,442.42

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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.