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Finding the Fourth Proportional to 16,582, 22,883.16 and 9,130

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Solution

The fourth proportional to 16,582, 22,883.16 and 9,130 is: 12,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582 : 22,883.16 = 9,130 : x
  2. Step 2: Convert to fraction form
    16,582/22,883.16 = 9,130/x
  3. Step 3: Cross multiply
    16,582x = 22,883.16 × 9,130
  4. Step 4: Simplify right side
    16,582x = 208,923,250.80
  5. Step 5: Solve for x
    x = 208,923,250.80/16,582
  6. Step 6: Final answer
    x = 12,599.40

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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.