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Finding the Fourth Proportional to 15,463.63, 23,199.40 and 5,075.47

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Solution

The fourth proportional to 15,463.63, 23,199.40 and 5,075.47 is: 7,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463.63 : 23,199.40 = 5,075.47 : x
  2. Step 2: Convert to fraction form
    15,463.63/23,199.40 = 5,075.47/x
  3. Step 3: Cross multiply
    15,463.63x = 23,199.40 × 5,075.47
  4. Step 4: Simplify right side
    15,463.63x = 117,747,742.72
  5. Step 5: Solve for x
    x = 117,747,742.72/15,463.63
  6. Step 6: Final answer
    x = 7,614.50

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Why These Related Problems?

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