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Finding the Fourth Proportional to 14,380.86, 21,579.52 and 7,807.58

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Solution

The fourth proportional to 14,380.86, 21,579.52 and 7,807.58 is: 11,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.86 : 21,579.52 = 7,807.58 : x
  2. Step 2: Convert to fraction form
    14,380.86/21,579.52 = 7,807.58/x
  3. Step 3: Cross multiply
    14,380.86x = 21,579.52 × 7,807.58
  4. Step 4: Simplify right side
    14,380.86x = 168,483,828.76
  5. Step 5: Solve for x
    x = 168,483,828.76/14,380.86
  6. Step 6: Final answer
    x = 11,715.84

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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.