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Finding the Fourth Proportional to 22,971.66, 31,700.91 and 12,901.08

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Solution

The fourth proportional to 22,971.66, 31,700.91 and 12,901.08 is: 17,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.66 : 31,700.91 = 12,901.08 : x
  2. Step 2: Convert to fraction form
    22,971.66/31,700.91 = 12,901.08/x
  3. Step 3: Cross multiply
    22,971.66x = 31,700.91 × 12,901.08
  4. Step 4: Simplify right side
    22,971.66x = 408,975,975.98
  5. Step 5: Solve for x
    x = 408,975,975.98/22,971.66
  6. Step 6: Final answer
    x = 17,803.50

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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.