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Finding the Fourth Proportional to 15,255.84, 22,886.10 and 6,488.40

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Solution

The fourth proportional to 15,255.84, 22,886.10 and 6,488.40 is: 9,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,255.84 : 22,886.10 = 6,488.40 : x
  2. Step 2: Convert to fraction form
    15,255.84/22,886.10 = 6,488.40/x
  3. Step 3: Cross multiply
    15,255.84x = 22,886.10 × 6,488.40
  4. Step 4: Simplify right side
    15,255.84x = 148,494,171.24
  5. Step 5: Solve for x
    x = 148,494,171.24/15,255.84
  6. Step 6: Final answer
    x = 9,733.60

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