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Finding the Fourth Proportional to 15,643.77, 23,463.21 and 5,113.71

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Solution

The fourth proportional to 15,643.77, 23,463.21 and 5,113.71 is: 7,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.77 : 23,463.21 = 5,113.71 : x
  2. Step 2: Convert to fraction form
    15,643.77/23,463.21 = 5,113.71/x
  3. Step 3: Cross multiply
    15,643.77x = 23,463.21 × 5,113.71
  4. Step 4: Simplify right side
    15,643.77x = 119,984,051.61
  5. Step 5: Solve for x
    x = 119,984,051.61/15,643.77
  6. Step 6: Final answer
    x = 7,669.77

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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.