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Finding the Fourth Proportional to 16,587, 24,880.59 and 4,275

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Solution

The fourth proportional to 16,587, 24,880.59 and 4,275 is: 6,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587 : 24,880.59 = 4,275 : x
  2. Step 2: Convert to fraction form
    16,587/24,880.59 = 4,275/x
  3. Step 3: Cross multiply
    16,587x = 24,880.59 × 4,275
  4. Step 4: Simplify right side
    16,587x = 106,364,522.25
  5. Step 5: Solve for x
    x = 106,364,522.25/16,587
  6. Step 6: Final answer
    x = 6,412.52

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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.