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Finding the Fourth Proportional to 21,134.40, 31,703.76 and 7,280.16

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Solution

The fourth proportional to 21,134.40, 31,703.76 and 7,280.16 is: 10,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.40 : 31,703.76 = 7,280.16 : x
  2. Step 2: Convert to fraction form
    21,134.40/31,703.76 = 7,280.16/x
  3. Step 3: Cross multiply
    21,134.40x = 31,703.76 × 7,280.16
  4. Step 4: Simplify right side
    21,134.40x = 230,808,445.40
  5. Step 5: Solve for x
    x = 230,808,445.40/21,134.40
  6. Step 6: Final answer
    x = 10,920.98

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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.