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Finding the Fourth Proportional to 14,438.63, 19,925.36 and 7,814.63

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Solution

The fourth proportional to 14,438.63, 19,925.36 and 7,814.63 is: 10,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.63 : 19,925.36 = 7,814.63 : x
  2. Step 2: Convert to fraction form
    14,438.63/19,925.36 = 7,814.63/x
  3. Step 3: Cross multiply
    14,438.63x = 19,925.36 × 7,814.63
  4. Step 4: Simplify right side
    14,438.63x = 155,709,235.93
  5. Step 5: Solve for x
    x = 155,709,235.93/14,438.63
  6. Step 6: Final answer
    x = 10,784.21

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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.