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Finding the Fourth Proportional to 15,439, 23,142.58 and 6,075.22

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Solution

The fourth proportional to 15,439, 23,142.58 and 6,075.22 is: 9,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,439 : 23,142.58 = 6,075.22 : x
  2. Step 2: Convert to fraction form
    15,439/23,142.58 = 6,075.22/x
  3. Step 3: Cross multiply
    15,439x = 23,142.58 × 6,075.22
  4. Step 4: Simplify right side
    15,439x = 140,596,264.87
  5. Step 5: Solve for x
    x = 140,596,264.87/15,439
  6. Step 6: Final answer
    x = 9,106.57

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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.