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Finding the Fourth Proportional to 21,002.40, 31,501.08 and 5,421.24

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Solution

The fourth proportional to 21,002.40, 31,501.08 and 5,421.24 is: 8,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.40 : 31,501.08 = 5,421.24 : x
  2. Step 2: Convert to fraction form
    21,002.40/31,501.08 = 5,421.24/x
  3. Step 3: Cross multiply
    21,002.40x = 31,501.08 × 5,421.24
  4. Step 4: Simplify right side
    21,002.40x = 170,774,914.94
  5. Step 5: Solve for x
    x = 170,774,914.94/21,002.40
  6. Step 6: Final answer
    x = 8,131.21

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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.