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Finding the Fourth Proportional to 16,700, 23,046 and 9,248

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Solution

The fourth proportional to 16,700, 23,046 and 9,248 is: 12,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 23,046 = 9,248 : x
  2. Step 2: Convert to fraction form
    16,700/23,046 = 9,248/x
  3. Step 3: Cross multiply
    16,700x = 23,046 × 9,248
  4. Step 4: Simplify right side
    16,700x = 213,129,408
  5. Step 5: Solve for x
    x = 213,129,408/16,700
  6. Step 6: Final answer
    x = 12,762.24

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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.