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Finding the Fourth Proportional to 22,235.46, 30,670.38 and 13,275.96

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Solution

The fourth proportional to 22,235.46, 30,670.38 and 13,275.96 is: 18,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.46 : 30,670.38 = 13,275.96 : x
  2. Step 2: Convert to fraction form
    22,235.46/30,670.38 = 13,275.96/x
  3. Step 3: Cross multiply
    22,235.46x = 30,670.38 × 13,275.96
  4. Step 4: Simplify right side
    22,235.46x = 407,178,738.06
  5. Step 5: Solve for x
    x = 407,178,738.06/22,235.46
  6. Step 6: Final answer
    x = 18,312.13

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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.