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Finding the Fourth Proportional to 13,802.17, 20,703.59 and 5,037.08

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Solution

The fourth proportional to 13,802.17, 20,703.59 and 5,037.08 is: 7,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.17 : 20,703.59 = 5,037.08 : x
  2. Step 2: Convert to fraction form
    13,802.17/20,703.59 = 5,037.08/x
  3. Step 3: Cross multiply
    13,802.17x = 20,703.59 × 5,037.08
  4. Step 4: Simplify right side
    13,802.17x = 104,285,639.12
  5. Step 5: Solve for x
    x = 104,285,639.12/13,802.17
  6. Step 6: Final answer
    x = 7,555.74

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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.