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Finding the Fourth Proportional to 17,154.16, 23,666.52 and 10,075.36

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Solution

The fourth proportional to 17,154.16, 23,666.52 and 10,075.36 is: 13,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.16 : 23,666.52 = 10,075.36 : x
  2. Step 2: Convert to fraction form
    17,154.16/23,666.52 = 10,075.36/x
  3. Step 3: Cross multiply
    17,154.16x = 23,666.52 × 10,075.36
  4. Step 4: Simplify right side
    17,154.16x = 238,448,708.95
  5. Step 5: Solve for x
    x = 238,448,708.95/17,154.16
  6. Step 6: Final answer
    x = 13,900.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.