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Finding the Fourth Proportional to 13,802.83, 20,700.14 and 5,035.69

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Solution

The fourth proportional to 13,802.83, 20,700.14 and 5,035.69 is: 7,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.83 : 20,700.14 = 5,035.69 : x
  2. Step 2: Convert to fraction form
    13,802.83/20,700.14 = 5,035.69/x
  3. Step 3: Cross multiply
    13,802.83x = 20,700.14 × 5,035.69
  4. Step 4: Simplify right side
    13,802.83x = 104,239,411.07
  5. Step 5: Solve for x
    x = 104,239,411.07/13,802.83
  6. Step 6: Final answer
    x = 7,552.03

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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.