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Finding the Fourth Proportional to 21,029.16, 31,534.52 and 7,872.31

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Solution

The fourth proportional to 21,029.16, 31,534.52 and 7,872.31 is: 11,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.16 : 31,534.52 = 7,872.31 : x
  2. Step 2: Convert to fraction form
    21,029.16/31,534.52 = 7,872.31/x
  3. Step 3: Cross multiply
    21,029.16x = 31,534.52 × 7,872.31
  4. Step 4: Simplify right side
    21,029.16x = 248,249,320.11
  5. Step 5: Solve for x
    x = 248,249,320.11/21,029.16
  6. Step 6: Final answer
    x = 11,805.00

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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.