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Finding the Fourth Proportional to 21,254.40, 31,881.60 and 7,400.16

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Solution

The fourth proportional to 21,254.40, 31,881.60 and 7,400.16 is: 11,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.40 : 31,881.60 = 7,400.16 : x
  2. Step 2: Convert to fraction form
    21,254.40/31,881.60 = 7,400.16/x
  3. Step 3: Cross multiply
    21,254.40x = 31,881.60 × 7,400.16
  4. Step 4: Simplify right side
    21,254.40x = 235,928,941.06
  5. Step 5: Solve for x
    x = 235,928,941.06/21,254.40
  6. Step 6: Final answer
    x = 11,100.24

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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.