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Finding the Fourth Proportional to 15,497.40, 21,386.10 and 8,424

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Solution

The fourth proportional to 15,497.40, 21,386.10 and 8,424 is: 11,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.40 : 21,386.10 = 8,424 : x
  2. Step 2: Convert to fraction form
    15,497.40/21,386.10 = 8,424/x
  3. Step 3: Cross multiply
    15,497.40x = 21,386.10 × 8,424
  4. Step 4: Simplify right side
    15,497.40x = 180,156,506.40
  5. Step 5: Solve for x
    x = 180,156,506.40/15,497.40
  6. Step 6: Final answer
    x = 11,624.95

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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.