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Finding the Fourth Proportional to 14,322.40, 21,492 and 6,001.78

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Solution

The fourth proportional to 14,322.40, 21,492 and 6,001.78 is: 9,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.40 : 21,492 = 6,001.78 : x
  2. Step 2: Convert to fraction form
    14,322.40/21,492 = 6,001.78/x
  3. Step 3: Cross multiply
    14,322.40x = 21,492 × 6,001.78
  4. Step 4: Simplify right side
    14,322.40x = 128,990,255.76
  5. Step 5: Solve for x
    x = 128,990,255.76/14,322.40
  6. Step 6: Final answer
    x = 9,006.19

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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.