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Finding the Fourth Proportional to 23,807.72, 35,689.70 and 12,722.06

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Solution

The fourth proportional to 23,807.72, 35,689.70 and 12,722.06 is: 19,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.72 : 35,689.70 = 12,722.06 : x
  2. Step 2: Convert to fraction form
    23,807.72/35,689.70 = 12,722.06/x
  3. Step 3: Cross multiply
    23,807.72x = 35,689.70 × 12,722.06
  4. Step 4: Simplify right side
    23,807.72x = 454,046,358.14
  5. Step 5: Solve for x
    x = 454,046,358.14/23,807.72
  6. Step 6: Final answer
    x = 19,071.40

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1.5x scale

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.