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Finding the Fourth Proportional to 13,772.40, 19,005.50 and 7,484.78

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Solution

The fourth proportional to 13,772.40, 19,005.50 and 7,484.78 is: 10,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.40 : 19,005.50 = 7,484.78 : x
  2. Step 2: Convert to fraction form
    13,772.40/19,005.50 = 7,484.78/x
  3. Step 3: Cross multiply
    13,772.40x = 19,005.50 × 7,484.78
  4. Step 4: Simplify right side
    13,772.40x = 142,251,986.29
  5. Step 5: Solve for x
    x = 142,251,986.29/13,772.40
  6. Step 6: Final answer
    x = 10,328.77

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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.