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Finding the Fourth Proportional to 14,038.68, 21,058.92 and 5,714.16

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Solution

The fourth proportional to 14,038.68, 21,058.92 and 5,714.16 is: 8,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.68 : 21,058.92 = 5,714.16 : x
  2. Step 2: Convert to fraction form
    14,038.68/21,058.92 = 5,714.16/x
  3. Step 3: Cross multiply
    14,038.68x = 21,058.92 × 5,714.16
  4. Step 4: Simplify right side
    14,038.68x = 120,334,038.31
  5. Step 5: Solve for x
    x = 120,334,038.31/14,038.68
  6. Step 6: Final answer
    x = 8,571.61

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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.