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Finding the Fourth Proportional to 21,002.25, 31,503.51 and 5,420.01

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Solution

The fourth proportional to 21,002.25, 31,503.51 and 5,420.01 is: 8,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.25 : 31,503.51 = 5,420.01 : x
  2. Step 2: Convert to fraction form
    21,002.25/31,503.51 = 5,420.01/x
  3. Step 3: Cross multiply
    21,002.25x = 31,503.51 × 5,420.01
  4. Step 4: Simplify right side
    21,002.25x = 170,749,339.24
  5. Step 5: Solve for x
    x = 170,749,339.24/21,002.25
  6. Step 6: Final answer
    x = 8,130.05

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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.