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Finding the Fourth Proportional to 17,312, 25,955.04 and 5,618.24

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Solution

The fourth proportional to 17,312, 25,955.04 and 5,618.24 is: 8,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312 : 25,955.04 = 5,618.24 : x
  2. Step 2: Convert to fraction form
    17,312/25,955.04 = 5,618.24/x
  3. Step 3: Cross multiply
    17,312x = 25,955.04 × 5,618.24
  4. Step 4: Simplify right side
    17,312x = 145,821,643.93
  5. Step 5: Solve for x
    x = 145,821,643.93/17,312
  6. Step 6: Final answer
    x = 8,423.15

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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.