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Finding the Fourth Proportional to 22,078.64, 30,468.64 and 12,007.16

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Solution

The fourth proportional to 22,078.64, 30,468.64 and 12,007.16 is: 16,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.64 : 30,468.64 = 12,007.16 : x
  2. Step 2: Convert to fraction form
    22,078.64/30,468.64 = 12,007.16/x
  3. Step 3: Cross multiply
    22,078.64x = 30,468.64 × 12,007.16
  4. Step 4: Simplify right side
    22,078.64x = 365,841,835.46
  5. Step 5: Solve for x
    x = 365,841,835.46/22,078.64
  6. Step 6: Final answer
    x = 16,569.94

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1.5x scale

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.