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Finding the Fourth Proportional to 13,802.02, 20,713.52 and 10,113.89

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Solution

The fourth proportional to 13,802.02, 20,713.52 and 10,113.89 is: 15,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.02 : 20,713.52 = 10,113.89 : x
  2. Step 2: Convert to fraction form
    13,802.02/20,713.52 = 10,113.89/x
  3. Step 3: Cross multiply
    13,802.02x = 20,713.52 × 10,113.89
  4. Step 4: Simplify right side
    13,802.02x = 209,494,242.77
  5. Step 5: Solve for x
    x = 209,494,242.77/13,802.02
  6. Step 6: Final answer
    x = 15,178.52

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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.