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Finding the Fourth Proportional to 16,179.94, 22,332.54 and 9,897.58

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Solution

The fourth proportional to 16,179.94, 22,332.54 and 9,897.58 is: 13,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.94 : 22,332.54 = 9,897.58 : x
  2. Step 2: Convert to fraction form
    16,179.94/22,332.54 = 9,897.58/x
  3. Step 3: Cross multiply
    16,179.94x = 22,332.54 × 9,897.58
  4. Step 4: Simplify right side
    16,179.94x = 221,038,101.25
  5. Step 5: Solve for x
    x = 221,038,101.25/16,179.94
  6. Step 6: Final answer
    x = 13,661.24

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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.