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Finding the Fourth Proportional to 14,290.32, 19,720.74 and 8,002.69

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Solution

The fourth proportional to 14,290.32, 19,720.74 and 8,002.69 is: 11,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.32 : 19,720.74 = 8,002.69 : x
  2. Step 2: Convert to fraction form
    14,290.32/19,720.74 = 8,002.69/x
  3. Step 3: Cross multiply
    14,290.32x = 19,720.74 × 8,002.69
  4. Step 4: Simplify right side
    14,290.32x = 157,818,968.79
  5. Step 5: Solve for x
    x = 157,818,968.79/14,290.32
  6. Step 6: Final answer
    x = 11,043.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.