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Finding the Fourth Proportional to 12,816.93, 17,688.60 and 7,779.99

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Solution

The fourth proportional to 12,816.93, 17,688.60 and 7,779.99 is: 10,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.93 : 17,688.60 = 7,779.99 : x
  2. Step 2: Convert to fraction form
    12,816.93/17,688.60 = 7,779.99/x
  3. Step 3: Cross multiply
    12,816.93x = 17,688.60 × 7,779.99
  4. Step 4: Simplify right side
    12,816.93x = 137,617,131.11
  5. Step 5: Solve for x
    x = 137,617,131.11/12,816.93
  6. Step 6: Final answer
    x = 10,737.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.