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Finding the Fourth Proportional to 14,677.76, 22,018.35 and 5,322.19

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Solution

The fourth proportional to 14,677.76, 22,018.35 and 5,322.19 is: 7,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.76 : 22,018.35 = 5,322.19 : x
  2. Step 2: Convert to fraction form
    14,677.76/22,018.35 = 5,322.19/x
  3. Step 3: Cross multiply
    14,677.76x = 22,018.35 × 5,322.19
  4. Step 4: Simplify right side
    14,677.76x = 117,185,842.19
  5. Step 5: Solve for x
    x = 117,185,842.19/14,677.76
  6. Step 6: Final answer
    x = 7,983.91

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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.