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Finding the Fourth Proportional to 22,937.71, 31,653.91 and 12,728.64

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Solution

The fourth proportional to 22,937.71, 31,653.91 and 12,728.64 is: 17,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.71 : 31,653.91 = 12,728.64 : x
  2. Step 2: Convert to fraction form
    22,937.71/31,653.91 = 12,728.64/x
  3. Step 3: Cross multiply
    22,937.71x = 31,653.91 × 12,728.64
  4. Step 4: Simplify right side
    22,937.71x = 402,911,224.98
  5. Step 5: Solve for x
    x = 402,911,224.98/22,937.71
  6. Step 6: Final answer
    x = 17,565.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.