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Finding the Fourth Proportional to 22,655, 31,263.51 and 12,583.06

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Solution

The fourth proportional to 22,655, 31,263.51 and 12,583.06 is: 17,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655 : 31,263.51 = 12,583.06 : x
  2. Step 2: Convert to fraction form
    22,655/31,263.51 = 12,583.06/x
  3. Step 3: Cross multiply
    22,655x = 31,263.51 × 12,583.06
  4. Step 4: Simplify right side
    22,655x = 393,390,622.14
  5. Step 5: Solve for x
    x = 393,390,622.14/22,655
  6. Step 6: Final answer
    x = 17,364.41

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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.