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Finding the Fourth Proportional to 21,810.47, 32,689.29 and 9,948

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Solution

The fourth proportional to 21,810.47, 32,689.29 and 9,948 is: 14,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.47 : 32,689.29 = 9,948 : x
  2. Step 2: Convert to fraction form
    21,810.47/32,689.29 = 9,948/x
  3. Step 3: Cross multiply
    21,810.47x = 32,689.29 × 9,948
  4. Step 4: Simplify right side
    21,810.47x = 325,193,056.92
  5. Step 5: Solve for x
    x = 325,193,056.92/21,810.47
  6. Step 6: Final answer
    x = 14,909.95

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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.