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Finding the Fourth Proportional to 13,883.50, 19,159.24 and 7,595.88

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Solution

The fourth proportional to 13,883.50, 19,159.24 and 7,595.88 is: 10,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.50 : 19,159.24 = 7,595.88 : x
  2. Step 2: Convert to fraction form
    13,883.50/19,159.24 = 7,595.88/x
  3. Step 3: Cross multiply
    13,883.50x = 19,159.24 × 7,595.88
  4. Step 4: Simplify right side
    13,883.50x = 145,531,287.93
  5. Step 5: Solve for x
    x = 145,531,287.93/13,883.50
  6. Step 6: Final answer
    x = 10,482.32

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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.