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Finding the Fourth Proportional to 17,316.95, 25,978.22 and 6,075.41

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Solution

The fourth proportional to 17,316.95, 25,978.22 and 6,075.41 is: 9,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,316.95 : 25,978.22 = 6,075.41 : x
  2. Step 2: Convert to fraction form
    17,316.95/25,978.22 = 6,075.41/x
  3. Step 3: Cross multiply
    17,316.95x = 25,978.22 × 6,075.41
  4. Step 4: Simplify right side
    17,316.95x = 157,828,307.19
  5. Step 5: Solve for x
    x = 157,828,307.19/17,316.95
  6. Step 6: Final answer
    x = 9,114.09

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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.