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Finding the Fourth Proportional to 13,886.64, 19,164.04 and 7,599

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Solution

The fourth proportional to 13,886.64, 19,164.04 and 7,599 is: 10,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.64 : 19,164.04 = 7,599 : x
  2. Step 2: Convert to fraction form
    13,886.64/19,164.04 = 7,599/x
  3. Step 3: Cross multiply
    13,886.64x = 19,164.04 × 7,599
  4. Step 4: Simplify right side
    13,886.64x = 145,627,539.96
  5. Step 5: Solve for x
    x = 145,627,539.96/13,886.64
  6. Step 6: Final answer
    x = 10,486.88

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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.