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Finding the Fourth Proportional to 15,497.38, 21,386.34 and 8,423.74

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Solution

The fourth proportional to 15,497.38, 21,386.34 and 8,423.74 is: 11,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.38 : 21,386.34 = 8,423.74 : x
  2. Step 2: Convert to fraction form
    15,497.38/21,386.34 = 8,423.74/x
  3. Step 3: Cross multiply
    15,497.38x = 21,386.34 × 8,423.74
  4. Step 4: Simplify right side
    15,497.38x = 180,152,967.71
  5. Step 5: Solve for x
    x = 180,152,967.71/15,497.38
  6. Step 6: Final answer
    x = 11,624.74

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Why These Related Problems?

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