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Finding the Fourth Proportional to 22,232.64, 33,303.60 and 14,417.76

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Solution

The fourth proportional to 22,232.64, 33,303.60 and 14,417.76 is: 21,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.64 : 33,303.60 = 14,417.76 : x
  2. Step 2: Convert to fraction form
    22,232.64/33,303.60 = 14,417.76/x
  3. Step 3: Cross multiply
    22,232.64x = 33,303.60 × 14,417.76
  4. Step 4: Simplify right side
    22,232.64x = 480,163,311.94
  5. Step 5: Solve for x
    x = 480,163,311.94/22,232.64
  6. Step 6: Final answer
    x = 21,597.22

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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.