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Finding the Fourth Proportional to 21,864.40, 32,812.80 and 14,466.40

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Solution

The fourth proportional to 21,864.40, 32,812.80 and 14,466.40 is: 21,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.40 : 32,812.80 = 14,466.40 : x
  2. Step 2: Convert to fraction form
    21,864.40/32,812.80 = 14,466.40/x
  3. Step 3: Cross multiply
    21,864.40x = 32,812.80 × 14,466.40
  4. Step 4: Simplify right side
    21,864.40x = 474,683,089.92
  5. Step 5: Solve for x
    x = 474,683,089.92/21,864.40
  6. Step 6: Final answer
    x = 21,710.32

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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.