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Finding the Fourth Proportional to 12,293.16, 16,959.74 and 7,569.24

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Solution

The fourth proportional to 12,293.16, 16,959.74 and 7,569.24 is: 10,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.16 : 16,959.74 = 7,569.24 : x
  2. Step 2: Convert to fraction form
    12,293.16/16,959.74 = 7,569.24/x
  3. Step 3: Cross multiply
    12,293.16x = 16,959.74 × 7,569.24
  4. Step 4: Simplify right side
    12,293.16x = 128,372,342.40
  5. Step 5: Solve for x
    x = 128,372,342.40/12,293.16
  6. Step 6: Final answer
    x = 10,442.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.