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Finding the Fourth Proportional to 19,504.71, 29,258.45 and 9,641.34

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Solution

The fourth proportional to 19,504.71, 29,258.45 and 9,641.34 is: 14,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.71 : 29,258.45 = 9,641.34 : x
  2. Step 2: Convert to fraction form
    19,504.71/29,258.45 = 9,641.34/x
  3. Step 3: Cross multiply
    19,504.71x = 29,258.45 × 9,641.34
  4. Step 4: Simplify right side
    19,504.71x = 282,090,616.12
  5. Step 5: Solve for x
    x = 282,090,616.12/19,504.71
  6. Step 6: Final answer
    x = 14,462.69

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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.