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Finding the Fourth Proportional to 15,805.92, 23,701.04 and 9,802.60

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Solution

The fourth proportional to 15,805.92, 23,701.04 and 9,802.60 is: 14,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.92 : 23,701.04 = 9,802.60 : x
  2. Step 2: Convert to fraction form
    15,805.92/23,701.04 = 9,802.60/x
  3. Step 3: Cross multiply
    15,805.92x = 23,701.04 × 9,802.60
  4. Step 4: Simplify right side
    15,805.92x = 232,331,814.70
  5. Step 5: Solve for x
    x = 232,331,814.70/15,805.92
  6. Step 6: Final answer
    x = 14,699.04

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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.