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Finding the Fourth Proportional to 15,914.40, 23,870.82 and 6,552.06

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Solution

The fourth proportional to 15,914.40, 23,870.82 and 6,552.06 is: 9,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.40 : 23,870.82 = 6,552.06 : x
  2. Step 2: Convert to fraction form
    15,914.40/23,870.82 = 6,552.06/x
  3. Step 3: Cross multiply
    15,914.40x = 23,870.82 × 6,552.06
  4. Step 4: Simplify right side
    15,914.40x = 156,403,044.89
  5. Step 5: Solve for x
    x = 156,403,044.89/15,914.40
  6. Step 6: Final answer
    x = 9,827.77

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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.