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Finding the Fourth Proportional to 12,907.19, 17,778.74 and 9,123.86

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Solution

The fourth proportional to 12,907.19, 17,778.74 and 9,123.86 is: 12,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.19 : 17,778.74 = 9,123.86 : x
  2. Step 2: Convert to fraction form
    12,907.19/17,778.74 = 9,123.86/x
  3. Step 3: Cross multiply
    12,907.19x = 17,778.74 × 9,123.86
  4. Step 4: Simplify right side
    12,907.19x = 162,210,659.28
  5. Step 5: Solve for x
    x = 162,210,659.28/12,907.19
  6. Step 6: Final answer
    x = 12,567.46

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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.