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Finding the Fourth Proportional to 13,901.76, 19,184.45 and 7,614

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Solution

The fourth proportional to 13,901.76, 19,184.45 and 7,614 is: 10,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.76 : 19,184.45 = 7,614 : x
  2. Step 2: Convert to fraction form
    13,901.76/19,184.45 = 7,614/x
  3. Step 3: Cross multiply
    13,901.76x = 19,184.45 × 7,614
  4. Step 4: Simplify right side
    13,901.76x = 146,070,364.23
  5. Step 5: Solve for x
    x = 146,070,364.23/13,901.76
  6. Step 6: Final answer
    x = 10,507.33

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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.