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Finding the Fourth Proportional to 15,605.02, 23,402.40 and 7,808.50

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Solution

The fourth proportional to 15,605.02, 23,402.40 and 7,808.50 is: 11,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.02 : 23,402.40 = 7,808.50 : x
  2. Step 2: Convert to fraction form
    15,605.02/23,402.40 = 7,808.50/x
  3. Step 3: Cross multiply
    15,605.02x = 23,402.40 × 7,808.50
  4. Step 4: Simplify right side
    15,605.02x = 182,737,640.40
  5. Step 5: Solve for x
    x = 182,737,640.40/15,605.02
  6. Step 6: Final answer
    x = 11,710.18

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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.