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Finding the Fourth Proportional to 15,605.76, 23,400.24 and 6,830.46

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Solution

The fourth proportional to 15,605.76, 23,400.24 and 6,830.46 is: 10,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.76 : 23,400.24 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    15,605.76/23,400.24 = 6,830.46/x
  3. Step 3: Cross multiply
    15,605.76x = 23,400.24 × 6,830.46
  4. Step 4: Simplify right side
    15,605.76x = 159,834,403.31
  5. Step 5: Solve for x
    x = 159,834,403.31/15,605.76
  6. Step 6: Final answer
    x = 10,242.01

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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.