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Finding the Fourth Proportional to 14,207.88, 21,312 and 5,443.32

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Solution

The fourth proportional to 14,207.88, 21,312 and 5,443.32 is: 8,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.88 : 21,312 = 5,443.32 : x
  2. Step 2: Convert to fraction form
    14,207.88/21,312 = 5,443.32/x
  3. Step 3: Cross multiply
    14,207.88x = 21,312 × 5,443.32
  4. Step 4: Simplify right side
    14,207.88x = 116,008,035.84
  5. Step 5: Solve for x
    x = 116,008,035.84/14,207.88
  6. Step 6: Final answer
    x = 8,165.05

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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.