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Finding the Fourth Proportional to 22,533.24, 31,095.94 and 12,597.24

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Solution

The fourth proportional to 22,533.24, 31,095.94 and 12,597.24 is: 17,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.24 : 31,095.94 = 12,597.24 : x
  2. Step 2: Convert to fraction form
    22,533.24/31,095.94 = 12,597.24/x
  3. Step 3: Cross multiply
    22,533.24x = 31,095.94 × 12,597.24
  4. Step 4: Simplify right side
    22,533.24x = 391,723,019.21
  5. Step 5: Solve for x
    x = 391,723,019.21/22,533.24
  6. Step 6: Final answer
    x = 17,384.23

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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.