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Finding the Fourth Proportional to 15,252.84, 22,769.37 and 13,284

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Solution

The fourth proportional to 15,252.84, 22,769.37 and 13,284 is: 19,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.84 : 22,769.37 = 13,284 : x
  2. Step 2: Convert to fraction form
    15,252.84/22,769.37 = 13,284/x
  3. Step 3: Cross multiply
    15,252.84x = 22,769.37 × 13,284
  4. Step 4: Simplify right side
    15,252.84x = 302,468,311.08
  5. Step 5: Solve for x
    x = 302,468,311.08/15,252.84
  6. Step 6: Final answer
    x = 19,830.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.