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Finding the Fourth Proportional to 22,564.32, 31,138.94 and 12,492.93

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Solution

The fourth proportional to 22,564.32, 31,138.94 and 12,492.93 is: 17,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.32 : 31,138.94 = 12,492.93 : x
  2. Step 2: Convert to fraction form
    22,564.32/31,138.94 = 12,492.93/x
  3. Step 3: Cross multiply
    22,564.32x = 31,138.94 × 12,492.93
  4. Step 4: Simplify right side
    22,564.32x = 389,016,597.69
  5. Step 5: Solve for x
    x = 389,016,597.69/22,564.32
  6. Step 6: Final answer
    x = 17,240.34

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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.