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Finding the Fourth Proportional to 14,434, 19,922.98 and 9,663.10

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Solution

The fourth proportional to 14,434, 19,922.98 and 9,663.10 is: 13,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434 : 19,922.98 = 9,663.10 : x
  2. Step 2: Convert to fraction form
    14,434/19,922.98 = 9,663.10/x
  3. Step 3: Cross multiply
    14,434x = 19,922.98 × 9,663.10
  4. Step 4: Simplify right side
    14,434x = 192,517,748.04
  5. Step 5: Solve for x
    x = 192,517,748.04/14,434
  6. Step 6: Final answer
    x = 13,337.80

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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.