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Finding the Fourth Proportional to 15,497.64, 21,386.58 and 8,424.06

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Solution

The fourth proportional to 15,497.64, 21,386.58 and 8,424.06 is: 11,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.64 : 21,386.58 = 8,424.06 : x
  2. Step 2: Convert to fraction form
    15,497.64/21,386.58 = 8,424.06/x
  3. Step 3: Cross multiply
    15,497.64x = 21,386.58 × 8,424.06
  4. Step 4: Simplify right side
    15,497.64x = 180,161,833.11
  5. Step 5: Solve for x
    x = 180,161,833.11/15,497.64
  6. Step 6: Final answer
    x = 11,625.11

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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.