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Finding the Fourth Proportional to 22,117.02, 30,522.02 and 12,046

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Solution

The fourth proportional to 22,117.02, 30,522.02 and 12,046 is: 16,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.02 : 30,522.02 = 12,046 : x
  2. Step 2: Convert to fraction form
    22,117.02/30,522.02 = 12,046/x
  3. Step 3: Cross multiply
    22,117.02x = 30,522.02 × 12,046
  4. Step 4: Simplify right side
    22,117.02x = 367,668,252.92
  5. Step 5: Solve for x
    x = 367,668,252.92/22,117.02
  6. Step 6: Final answer
    x = 16,623.77

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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.