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Finding the Fourth Proportional to 19,869.90, 29,785.40 and 9,488.94

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Solution

The fourth proportional to 19,869.90, 29,785.40 and 9,488.94 is: 14,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.90 : 29,785.40 = 9,488.94 : x
  2. Step 2: Convert to fraction form
    19,869.90/29,785.40 = 9,488.94/x
  3. Step 3: Cross multiply
    19,869.90x = 29,785.40 × 9,488.94
  4. Step 4: Simplify right side
    19,869.90x = 282,631,873.48
  5. Step 5: Solve for x
    x = 282,631,873.48/19,869.90
  6. Step 6: Final answer
    x = 14,224.12

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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.