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Finding the Fourth Proportional to 13,878.50, 19,152.42 and 7,505.08

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Solution

The fourth proportional to 13,878.50, 19,152.42 and 7,505.08 is: 10,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.50 : 19,152.42 = 7,505.08 : x
  2. Step 2: Convert to fraction form
    13,878.50/19,152.42 = 7,505.08/x
  3. Step 3: Cross multiply
    13,878.50x = 19,152.42 × 7,505.08
  4. Step 4: Simplify right side
    13,878.50x = 143,740,368.27
  5. Step 5: Solve for x
    x = 143,740,368.27/13,878.50
  6. Step 6: Final answer
    x = 10,357.06

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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.