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Finding the Fourth Proportional to 21,357.12, 31,872.48 and 19,024.32

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Solution

The fourth proportional to 21,357.12, 31,872.48 and 19,024.32 is: 28,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.12 : 31,872.48 = 19,024.32 : x
  2. Step 2: Convert to fraction form
    21,357.12/31,872.48 = 19,024.32/x
  3. Step 3: Cross multiply
    21,357.12x = 31,872.48 × 19,024.32
  4. Step 4: Simplify right side
    21,357.12x = 606,352,258.71
  5. Step 5: Solve for x
    x = 606,352,258.71/21,357.12
  6. Step 6: Final answer
    x = 28,391.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.