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Finding the Fourth Proportional to 12,907.30, 19,357.07 and 4,586.22

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Solution

The fourth proportional to 12,907.30, 19,357.07 and 4,586.22 is: 6,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.30 : 19,357.07 = 4,586.22 : x
  2. Step 2: Convert to fraction form
    12,907.30/19,357.07 = 4,586.22/x
  3. Step 3: Cross multiply
    12,907.30x = 19,357.07 × 4,586.22
  4. Step 4: Simplify right side
    12,907.30x = 88,775,661.86
  5. Step 5: Solve for x
    x = 88,775,661.86/12,907.30
  6. Step 6: Final answer
    x = 6,877.94

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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.