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Finding the Fourth Proportional to 27,681.39, 41,534.25 and 14,530.71

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Solution

The fourth proportional to 27,681.39, 41,534.25 and 14,530.71 is: 21,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.39 : 41,534.25 = 14,530.71 : x
  2. Step 2: Convert to fraction form
    27,681.39/41,534.25 = 14,530.71/x
  3. Step 3: Cross multiply
    27,681.39x = 41,534.25 × 14,530.71
  4. Step 4: Simplify right side
    27,681.39x = 603,522,141.82
  5. Step 5: Solve for x
    x = 603,522,141.82/27,681.39
  6. Step 6: Final answer
    x = 21,802.45

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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.