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Finding the Fourth Proportional to 22,482.80, 31,026.58 and 12,411.20

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Solution

The fourth proportional to 22,482.80, 31,026.58 and 12,411.20 is: 17,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.80 : 31,026.58 = 12,411.20 : x
  2. Step 2: Convert to fraction form
    22,482.80/31,026.58 = 12,411.20/x
  3. Step 3: Cross multiply
    22,482.80x = 31,026.58 × 12,411.20
  4. Step 4: Simplify right side
    22,482.80x = 385,077,089.70
  5. Step 5: Solve for x
    x = 385,077,089.70/22,482.80
  6. Step 6: Final answer
    x = 17,127.63

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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.