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Finding the Fourth Proportional to 13,120, 19,681.04 and 10,004.96

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Solution

The fourth proportional to 13,120, 19,681.04 and 10,004.96 is: 15,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 19,681.04 = 10,004.96 : x
  2. Step 2: Convert to fraction form
    13,120/19,681.04 = 10,004.96/x
  3. Step 3: Cross multiply
    13,120x = 19,681.04 × 10,004.96
  4. Step 4: Simplify right side
    13,120x = 196,908,017.96
  5. Step 5: Solve for x
    x = 196,908,017.96/13,120
  6. Step 6: Final answer
    x = 15,008.23

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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.