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Finding the Fourth Proportional to 13,783.76, 19,020.60 and 7,496

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Solution

The fourth proportional to 13,783.76, 19,020.60 and 7,496 is: 10,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.76 : 19,020.60 = 7,496 : x
  2. Step 2: Convert to fraction form
    13,783.76/19,020.60 = 7,496/x
  3. Step 3: Cross multiply
    13,783.76x = 19,020.60 × 7,496
  4. Step 4: Simplify right side
    13,783.76x = 142,578,417.60
  5. Step 5: Solve for x
    x = 142,578,417.60/13,783.76
  6. Step 6: Final answer
    x = 10,343.94

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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.