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Finding the Fourth Proportional to 22,678.88, 31,297.66 and 12,470.69

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Solution

The fourth proportional to 22,678.88, 31,297.66 and 12,470.69 is: 17,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.88 : 31,297.66 = 12,470.69 : x
  2. Step 2: Convert to fraction form
    22,678.88/31,297.66 = 12,470.69/x
  3. Step 3: Cross multiply
    22,678.88x = 31,297.66 × 12,470.69
  4. Step 4: Simplify right side
    22,678.88x = 390,303,386.32
  5. Step 5: Solve for x
    x = 390,303,386.32/22,678.88
  6. Step 6: Final answer
    x = 17,209.99

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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.