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Finding the Fourth Proportional to 13,769.84, 19,002.30 and 7,482.08

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Solution

The fourth proportional to 13,769.84, 19,002.30 and 7,482.08 is: 10,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.84 : 19,002.30 = 7,482.08 : x
  2. Step 2: Convert to fraction form
    13,769.84/19,002.30 = 7,482.08/x
  3. Step 3: Cross multiply
    13,769.84x = 19,002.30 × 7,482.08
  4. Step 4: Simplify right side
    13,769.84x = 142,176,728.78
  5. Step 5: Solve for x
    x = 142,176,728.78/13,769.84
  6. Step 6: Final answer
    x = 10,325.23

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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.