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Finding the Fourth Proportional to 22,655.16, 31,263.06 and 12,584.24

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Solution

The fourth proportional to 22,655.16, 31,263.06 and 12,584.24 is: 17,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.16 : 31,263.06 = 12,584.24 : x
  2. Step 2: Convert to fraction form
    22,655.16/31,263.06 = 12,584.24/x
  3. Step 3: Cross multiply
    22,655.16x = 31,263.06 × 12,584.24
  4. Step 4: Simplify right side
    22,655.16x = 393,421,850.17
  5. Step 5: Solve for x
    x = 393,421,850.17/22,655.16
  6. Step 6: Final answer
    x = 17,365.66

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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.