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Finding the Fourth Proportional to 22,848, 31,530.24 and 14,903.70

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Solution

The fourth proportional to 22,848, 31,530.24 and 14,903.70 is: 20,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848 : 31,530.24 = 14,903.70 : x
  2. Step 2: Convert to fraction form
    22,848/31,530.24 = 14,903.70/x
  3. Step 3: Cross multiply
    22,848x = 31,530.24 × 14,903.70
  4. Step 4: Simplify right side
    22,848x = 469,917,237.89
  5. Step 5: Solve for x
    x = 469,917,237.89/22,848
  6. Step 6: Final answer
    x = 20,567.11

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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.