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Finding the Fourth Proportional to 16,700, 25,028.13 and 9,307.94

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Solution

The fourth proportional to 16,700, 25,028.13 and 9,307.94 is: 13,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 25,028.13 = 9,307.94 : x
  2. Step 2: Convert to fraction form
    16,700/25,028.13 = 9,307.94/x
  3. Step 3: Cross multiply
    16,700x = 25,028.13 × 9,307.94
  4. Step 4: Simplify right side
    16,700x = 232,960,332.35
  5. Step 5: Solve for x
    x = 232,960,332.35/16,700
  6. Step 6: Final answer
    x = 13,949.72

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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.