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Finding the Fourth Proportional to 22,965.54, 31,700.44 and 13,533.50

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Solution

The fourth proportional to 22,965.54, 31,700.44 and 13,533.50 is: 18,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.54 : 31,700.44 = 13,533.50 : x
  2. Step 2: Convert to fraction form
    22,965.54/31,700.44 = 13,533.50/x
  3. Step 3: Cross multiply
    22,965.54x = 31,700.44 × 13,533.50
  4. Step 4: Simplify right side
    22,965.54x = 429,017,904.74
  5. Step 5: Solve for x
    x = 429,017,904.74/22,965.54
  6. Step 6: Final answer
    x = 18,680.94

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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.