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Finding the Fourth Proportional to 15,702.06, 23,547.06 and 6,338.82

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Solution

The fourth proportional to 15,702.06, 23,547.06 and 6,338.82 is: 9,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.06 : 23,547.06 = 6,338.82 : x
  2. Step 2: Convert to fraction form
    15,702.06/23,547.06 = 6,338.82/x
  3. Step 3: Cross multiply
    15,702.06x = 23,547.06 × 6,338.82
  4. Step 4: Simplify right side
    15,702.06x = 149,260,574.87
  5. Step 5: Solve for x
    x = 149,260,574.87/15,702.06
  6. Step 6: Final answer
    x = 9,505.80

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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.