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Finding the Fourth Proportional to 14,233.57, 19,642.64 and 7,860.14

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Solution

The fourth proportional to 14,233.57, 19,642.64 and 7,860.14 is: 10,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.57 : 19,642.64 = 7,860.14 : x
  2. Step 2: Convert to fraction form
    14,233.57/19,642.64 = 7,860.14/x
  3. Step 3: Cross multiply
    14,233.57x = 19,642.64 × 7,860.14
  4. Step 4: Simplify right side
    14,233.57x = 154,393,762.86
  5. Step 5: Solve for x
    x = 154,393,762.86/14,233.57
  6. Step 6: Final answer
    x = 10,847.16

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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.