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Finding the Fourth Proportional to 15,584, 21,506.40 and 8,960

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Solution

The fourth proportional to 15,584, 21,506.40 and 8,960 is: 12,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 21,506.40 = 8,960 : x
  2. Step 2: Convert to fraction form
    15,584/21,506.40 = 8,960/x
  3. Step 3: Cross multiply
    15,584x = 21,506.40 × 8,960
  4. Step 4: Simplify right side
    15,584x = 192,697,344
  5. Step 5: Solve for x
    x = 192,697,344/15,584
  6. Step 6: Final answer
    x = 12,365.08

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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.