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Finding the Fourth Proportional to 14,438.64, 19,925.37 and 7,814.64

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Solution

The fourth proportional to 14,438.64, 19,925.37 and 7,814.64 is: 10,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.64 : 19,925.37 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    14,438.64/19,925.37 = 7,814.64/x
  3. Step 3: Cross multiply
    14,438.64x = 19,925.37 × 7,814.64
  4. Step 4: Simplify right side
    14,438.64x = 155,709,593.42
  5. Step 5: Solve for x
    x = 155,709,593.42/14,438.64
  6. Step 6: Final answer
    x = 10,784.23

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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.