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Finding the Fourth Proportional to 14,356.96, 19,809.04 and 8,385.20

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Solution

The fourth proportional to 14,356.96, 19,809.04 and 8,385.20 is: 11,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.96 : 19,809.04 = 8,385.20 : x
  2. Step 2: Convert to fraction form
    14,356.96/19,809.04 = 8,385.20/x
  3. Step 3: Cross multiply
    14,356.96x = 19,809.04 × 8,385.20
  4. Step 4: Simplify right side
    14,356.96x = 166,102,762.21
  5. Step 5: Solve for x
    x = 166,102,762.21/14,356.96
  6. Step 6: Final answer
    x = 11,569.49

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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.