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Finding the Fourth Proportional to 14,005.30, 21,007.95 and 13,141.30

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Solution

The fourth proportional to 14,005.30, 21,007.95 and 13,141.30 is: 19,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.30 : 21,007.95 = 13,141.30 : x
  2. Step 2: Convert to fraction form
    14,005.30/21,007.95 = 13,141.30/x
  3. Step 3: Cross multiply
    14,005.30x = 21,007.95 × 13,141.30
  4. Step 4: Simplify right side
    14,005.30x = 276,071,773.34
  5. Step 5: Solve for x
    x = 276,071,773.34/14,005.30
  6. Step 6: Final answer
    x = 19,711.95

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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.