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Finding the Fourth Proportional to 22,320.75, 30,802.64 and 12,384.75

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Solution

The fourth proportional to 22,320.75, 30,802.64 and 12,384.75 is: 17,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320.75 : 30,802.64 = 12,384.75 : x
  2. Step 2: Convert to fraction form
    22,320.75/30,802.64 = 12,384.75/x
  3. Step 3: Cross multiply
    22,320.75x = 30,802.64 × 12,384.75
  4. Step 4: Simplify right side
    22,320.75x = 381,482,995.74
  5. Step 5: Solve for x
    x = 381,482,995.74/22,320.75
  6. Step 6: Final answer
    x = 17,090.96

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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.