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Finding the Fourth Proportional to 25,341.80, 38,009.10 and 7,813.40

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Solution

The fourth proportional to 25,341.80, 38,009.10 and 7,813.40 is: 11,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341.80 : 38,009.10 = 7,813.40 : x
  2. Step 2: Convert to fraction form
    25,341.80/38,009.10 = 7,813.40/x
  3. Step 3: Cross multiply
    25,341.80x = 38,009.10 × 7,813.40
  4. Step 4: Simplify right side
    25,341.80x = 296,980,301.94
  5. Step 5: Solve for x
    x = 296,980,301.94/25,341.80
  6. Step 6: Final answer
    x = 11,718.99

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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.