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Finding the Fourth Proportional to 22,823.16, 31,495.98 and 13,264.92

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Solution

The fourth proportional to 22,823.16, 31,495.98 and 13,264.92 is: 18,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.16 : 31,495.98 = 13,264.92 : x
  2. Step 2: Convert to fraction form
    22,823.16/31,495.98 = 13,264.92/x
  3. Step 3: Cross multiply
    22,823.16x = 31,495.98 × 13,264.92
  4. Step 4: Simplify right side
    22,823.16x = 417,791,655.02
  5. Step 5: Solve for x
    x = 417,791,655.02/22,823.16
  6. Step 6: Final answer
    x = 18,305.60

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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.