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Finding the Fourth Proportional to 22,335.77, 30,823.94 and 12,264.86

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Solution

The fourth proportional to 22,335.77, 30,823.94 and 12,264.86 is: 16,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.77 : 30,823.94 = 12,264.86 : x
  2. Step 2: Convert to fraction form
    22,335.77/30,823.94 = 12,264.86/x
  3. Step 3: Cross multiply
    22,335.77x = 30,823.94 × 12,264.86
  4. Step 4: Simplify right side
    22,335.77x = 378,051,185.29
  5. Step 5: Solve for x
    x = 378,051,185.29/22,335.77
  6. Step 6: Final answer
    x = 16,925.82

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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.