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Finding the Fourth Proportional to 13,020.94, 19,534.65 and 7,477.84

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Solution

The fourth proportional to 13,020.94, 19,534.65 and 7,477.84 is: 11,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.94 : 19,534.65 = 7,477.84 : x
  2. Step 2: Convert to fraction form
    13,020.94/19,534.65 = 7,477.84/x
  3. Step 3: Cross multiply
    13,020.94x = 19,534.65 × 7,477.84
  4. Step 4: Simplify right side
    13,020.94x = 146,076,987.16
  5. Step 5: Solve for x
    x = 146,076,987.16/13,020.94
  6. Step 6: Final answer
    x = 11,218.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.