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Finding the Fourth Proportional to 27,143.76, 37,459 and 15,206.48

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Solution

The fourth proportional to 27,143.76, 37,459 and 15,206.48 is: 20,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.76 : 37,459 = 15,206.48 : x
  2. Step 2: Convert to fraction form
    27,143.76/37,459 = 15,206.48/x
  3. Step 3: Cross multiply
    27,143.76x = 37,459 × 15,206.48
  4. Step 4: Simplify right side
    27,143.76x = 569,619,534.32
  5. Step 5: Solve for x
    x = 569,619,534.32/27,143.76
  6. Step 6: Final answer
    x = 20,985.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.