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Finding the Fourth Proportional to 17,071.38, 25,600.05 and 10,053

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Solution

The fourth proportional to 17,071.38, 25,600.05 and 10,053 is: 15,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.38 : 25,600.05 = 10,053 : x
  2. Step 2: Convert to fraction form
    17,071.38/25,600.05 = 10,053/x
  3. Step 3: Cross multiply
    17,071.38x = 25,600.05 × 10,053
  4. Step 4: Simplify right side
    17,071.38x = 257,357,302.65
  5. Step 5: Solve for x
    x = 257,357,302.65/17,071.38
  6. Step 6: Final answer
    x = 15,075.37

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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.