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Finding the Fourth Proportional to 25,335.69, 38,002.62 and 7,805.07

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Solution

The fourth proportional to 25,335.69, 38,002.62 and 7,805.07 is: 11,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335.69 : 38,002.62 = 7,805.07 : x
  2. Step 2: Convert to fraction form
    25,335.69/38,002.62 = 7,805.07/x
  3. Step 3: Cross multiply
    25,335.69x = 38,002.62 × 7,805.07
  4. Step 4: Simplify right side
    25,335.69x = 296,613,109.28
  5. Step 5: Solve for x
    x = 296,613,109.28/25,335.69
  6. Step 6: Final answer
    x = 11,707.32

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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.