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Finding the Fourth Proportional to 15,470.84, 23,173.97 and 9,895.88

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Solution

The fourth proportional to 15,470.84, 23,173.97 and 9,895.88 is: 14,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.84 : 23,173.97 = 9,895.88 : x
  2. Step 2: Convert to fraction form
    15,470.84/23,173.97 = 9,895.88/x
  3. Step 3: Cross multiply
    15,470.84x = 23,173.97 × 9,895.88
  4. Step 4: Simplify right side
    15,470.84x = 229,326,834.70
  5. Step 5: Solve for x
    x = 229,326,834.70/15,470.84
  6. Step 6: Final answer
    x = 14,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.