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Finding the Fourth Proportional to 22,102.32, 30,500.78 and 12,030.96

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Solution

The fourth proportional to 22,102.32, 30,500.78 and 12,030.96 is: 16,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.32 : 30,500.78 = 12,030.96 : x
  2. Step 2: Convert to fraction form
    22,102.32/30,500.78 = 12,030.96/x
  3. Step 3: Cross multiply
    22,102.32x = 30,500.78 × 12,030.96
  4. Step 4: Simplify right side
    22,102.32x = 366,953,664.15
  5. Step 5: Solve for x
    x = 366,953,664.15/22,102.32
  6. Step 6: Final answer
    x = 16,602.50

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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.