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Finding the Fourth Proportional to 22,415.68, 30,923.25 and 14,460.47

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Solution

The fourth proportional to 22,415.68, 30,923.25 and 14,460.47 is: 19,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.68 : 30,923.25 = 14,460.47 : x
  2. Step 2: Convert to fraction form
    22,415.68/30,923.25 = 14,460.47/x
  3. Step 3: Cross multiply
    22,415.68x = 30,923.25 × 14,460.47
  4. Step 4: Simplify right side
    22,415.68x = 447,164,687.77
  5. Step 5: Solve for x
    x = 447,164,687.77/22,415.68
  6. Step 6: Final answer
    x = 19,948.75

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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.