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Finding the Fourth Proportional to 21,521.39, 32,292.80 and 14,410.40

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Solution

The fourth proportional to 21,521.39, 32,292.80 and 14,410.40 is: 21,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.39 : 32,292.80 = 14,410.40 : x
  2. Step 2: Convert to fraction form
    21,521.39/32,292.80 = 14,410.40/x
  3. Step 3: Cross multiply
    21,521.39x = 32,292.80 × 14,410.40
  4. Step 4: Simplify right side
    21,521.39x = 465,351,931.60
  5. Step 5: Solve for x
    x = 465,351,931.60/21,521.39
  6. Step 6: Final answer
    x = 21,622.77

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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.