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Finding the Fourth Proportional to 22,980.84, 31,711.32 and 12,907

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Solution

The fourth proportional to 22,980.84, 31,711.32 and 12,907 is: 17,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.84 : 31,711.32 = 12,907 : x
  2. Step 2: Convert to fraction form
    22,980.84/31,711.32 = 12,907/x
  3. Step 3: Cross multiply
    22,980.84x = 31,711.32 × 12,907
  4. Step 4: Simplify right side
    22,980.84x = 409,298,007.24
  5. Step 5: Solve for x
    x = 409,298,007.24/22,980.84
  6. Step 6: Final answer
    x = 17,810.40

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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.