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Finding the Fourth Proportional to 13,952.05, 19,254.18 and 7,578.64

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Solution

The fourth proportional to 13,952.05, 19,254.18 and 7,578.64 is: 10,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.05 : 19,254.18 = 7,578.64 : x
  2. Step 2: Convert to fraction form
    13,952.05/19,254.18 = 7,578.64/x
  3. Step 3: Cross multiply
    13,952.05x = 19,254.18 × 7,578.64
  4. Step 4: Simplify right side
    13,952.05x = 145,920,430.77
  5. Step 5: Solve for x
    x = 145,920,430.77/13,952.05
  6. Step 6: Final answer
    x = 10,458.71

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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.