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Finding the Fourth Proportional to 22,571.76, 31,113 and 17,784.12

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Solution

The fourth proportional to 22,571.76, 31,113 and 17,784.12 is: 24,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.76 : 31,113 = 17,784.12 : x
  2. Step 2: Convert to fraction form
    22,571.76/31,113 = 17,784.12/x
  3. Step 3: Cross multiply
    22,571.76x = 31,113 × 17,784.12
  4. Step 4: Simplify right side
    22,571.76x = 553,317,325.56
  5. Step 5: Solve for x
    x = 553,317,325.56/22,571.76
  6. Step 6: Final answer
    x = 24,513.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.