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Finding the Fourth Proportional to 22,952.12, 31,665.80 and 14,998.95

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Solution

The fourth proportional to 22,952.12, 31,665.80 and 14,998.95 is: 20,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.12 : 31,665.80 = 14,998.95 : x
  2. Step 2: Convert to fraction form
    22,952.12/31,665.80 = 14,998.95/x
  3. Step 3: Cross multiply
    22,952.12x = 31,665.80 × 14,998.95
  4. Step 4: Simplify right side
    22,952.12x = 474,953,907.15
  5. Step 5: Solve for x
    x = 474,953,907.15/22,952.12
  6. Step 6: Final answer
    x = 20,693.25

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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.