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Finding the Fourth Proportional to 22,670.91, 31,280.22 and 14,159.84

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Solution

The fourth proportional to 22,670.91, 31,280.22 and 14,159.84 is: 19,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.91 : 31,280.22 = 14,159.84 : x
  2. Step 2: Convert to fraction form
    22,670.91/31,280.22 = 14,159.84/x
  3. Step 3: Cross multiply
    22,670.91x = 31,280.22 × 14,159.84
  4. Step 4: Simplify right side
    22,670.91x = 442,922,753.96
  5. Step 5: Solve for x
    x = 442,922,753.96/22,670.91
  6. Step 6: Final answer
    x = 19,537.05

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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.