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Finding the Fourth Proportional to 16,128.86, 22,264.88 and 9,411.93

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Solution

The fourth proportional to 16,128.86, 22,264.88 and 9,411.93 is: 12,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.86 : 22,264.88 = 9,411.93 : x
  2. Step 2: Convert to fraction form
    16,128.86/22,264.88 = 9,411.93/x
  3. Step 3: Cross multiply
    16,128.86x = 22,264.88 × 9,411.93
  4. Step 4: Simplify right side
    16,128.86x = 209,555,444.96
  5. Step 5: Solve for x
    x = 209,555,444.96/16,128.86
  6. Step 6: Final answer
    x = 12,992.58

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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.