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Finding the Fourth Proportional to 22,980.76, 31,716.88 and 14,033.45

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Solution

The fourth proportional to 22,980.76, 31,716.88 and 14,033.45 is: 19,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.76 : 31,716.88 = 14,033.45 : x
  2. Step 2: Convert to fraction form
    22,980.76/31,716.88 = 14,033.45/x
  3. Step 3: Cross multiply
    22,980.76x = 31,716.88 × 14,033.45
  4. Step 4: Simplify right side
    22,980.76x = 445,097,020.88
  5. Step 5: Solve for x
    x = 445,097,020.88/22,980.76
  6. Step 6: Final answer
    x = 19,368.25

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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.