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Finding the Fourth Proportional to 12,697.65, 19,017.14 and 12,095.01

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Solution

The fourth proportional to 12,697.65, 19,017.14 and 12,095.01 is: 18,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.65 : 19,017.14 = 12,095.01 : x
  2. Step 2: Convert to fraction form
    12,697.65/19,017.14 = 12,095.01/x
  3. Step 3: Cross multiply
    12,697.65x = 19,017.14 × 12,095.01
  4. Step 4: Simplify right side
    12,697.65x = 230,012,438.00
  5. Step 5: Solve for x
    x = 230,012,438.00/12,697.65
  6. Step 6: Final answer
    x = 18,114.57

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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.