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Finding the Fourth Proportional to 15,497.76, 21,387.04 and 8,424.20

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Solution

The fourth proportional to 15,497.76, 21,387.04 and 8,424.20 is: 11,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.76 : 21,387.04 = 8,424.20 : x
  2. Step 2: Convert to fraction form
    15,497.76/21,387.04 = 8,424.20/x
  3. Step 3: Cross multiply
    15,497.76x = 21,387.04 × 8,424.20
  4. Step 4: Simplify right side
    15,497.76x = 180,168,702.37
  5. Step 5: Solve for x
    x = 180,168,702.37/15,497.76
  6. Step 6: Final answer
    x = 11,625.47

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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.