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Finding the Fourth Proportional to 22,106.70, 30,509.86 and 12,417.76

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Solution

The fourth proportional to 22,106.70, 30,509.86 and 12,417.76 is: 17,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.70 : 30,509.86 = 12,417.76 : x
  2. Step 2: Convert to fraction form
    22,106.70/30,509.86 = 12,417.76/x
  3. Step 3: Cross multiply
    22,106.70x = 30,509.86 × 12,417.76
  4. Step 4: Simplify right side
    22,106.70x = 378,864,119.11
  5. Step 5: Solve for x
    x = 378,864,119.11/22,106.70
  6. Step 6: Final answer
    x = 17,137.98

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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.