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Finding the Fourth Proportional to 21,038.32, 31,552.02 and 6,243.76

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Solution

The fourth proportional to 21,038.32, 31,552.02 and 6,243.76 is: 9,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.32 : 31,552.02 = 6,243.76 : x
  2. Step 2: Convert to fraction form
    21,038.32/31,552.02 = 6,243.76/x
  3. Step 3: Cross multiply
    21,038.32x = 31,552.02 × 6,243.76
  4. Step 4: Simplify right side
    21,038.32x = 197,003,240.40
  5. Step 5: Solve for x
    x = 197,003,240.40/21,038.32
  6. Step 6: Final answer
    x = 9,364.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.