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Finding the Fourth Proportional to 34,378.51, 51,567.80 and 9,418.77

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Solution

The fourth proportional to 34,378.51, 51,567.80 and 9,418.77 is: 14,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.51 : 51,567.80 = 9,418.77 : x
  2. Step 2: Convert to fraction form
    34,378.51/51,567.80 = 9,418.77/x
  3. Step 3: Cross multiply
    34,378.51x = 51,567.80 × 9,418.77
  4. Step 4: Simplify right side
    34,378.51x = 485,705,247.61
  5. Step 5: Solve for x
    x = 485,705,247.61/34,378.51
  6. Step 6: Final answer
    x = 14,128.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.