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Finding the Fourth Proportional to 19,535.68, 29,266.80 and 9,663.40

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Solution

The fourth proportional to 19,535.68, 29,266.80 and 9,663.40 is: 14,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.68 : 29,266.80 = 9,663.40 : x
  2. Step 2: Convert to fraction form
    19,535.68/29,266.80 = 9,663.40/x
  3. Step 3: Cross multiply
    19,535.68x = 29,266.80 × 9,663.40
  4. Step 4: Simplify right side
    19,535.68x = 282,816,795.12
  5. Step 5: Solve for x
    x = 282,816,795.12/19,535.68
  6. Step 6: Final answer
    x = 14,476.94

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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.