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Finding the Fourth Proportional to 16,186.16, 22,335.54 and 9,897.32

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Solution

The fourth proportional to 16,186.16, 22,335.54 and 9,897.32 is: 13,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.16 : 22,335.54 = 9,897.32 : x
  2. Step 2: Convert to fraction form
    16,186.16/22,335.54 = 9,897.32/x
  3. Step 3: Cross multiply
    16,186.16x = 22,335.54 × 9,897.32
  4. Step 4: Simplify right side
    16,186.16x = 221,061,986.75
  5. Step 5: Solve for x
    x = 221,061,986.75/16,186.16
  6. Step 6: Final answer
    x = 13,657.47

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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.