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Finding the Fourth Proportional to 15,702.61, 23,547.76 and 6,340.88

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Solution

The fourth proportional to 15,702.61, 23,547.76 and 6,340.88 is: 9,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.61 : 23,547.76 = 6,340.88 : x
  2. Step 2: Convert to fraction form
    15,702.61/23,547.76 = 6,340.88/x
  3. Step 3: Cross multiply
    15,702.61x = 23,547.76 × 6,340.88
  4. Step 4: Simplify right side
    15,702.61x = 149,313,599.11
  5. Step 5: Solve for x
    x = 149,313,599.11/15,702.61
  6. Step 6: Final answer
    x = 9,508.84

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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.