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Finding the Fourth Proportional to 27,730, 41,569.62 and 10,186.48

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Solution

The fourth proportional to 27,730, 41,569.62 and 10,186.48 is: 15,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 41,569.62 = 10,186.48 : x
  2. Step 2: Convert to fraction form
    27,730/41,569.62 = 10,186.48/x
  3. Step 3: Cross multiply
    27,730x = 41,569.62 × 10,186.48
  4. Step 4: Simplify right side
    27,730x = 423,448,102.74
  5. Step 5: Solve for x
    x = 423,448,102.74/27,730
  6. Step 6: Final answer
    x = 15,270.40

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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.