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Finding the Fourth Proportional to 22,017.84, 32,989.68 and 14,210.16

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Solution

The fourth proportional to 22,017.84, 32,989.68 and 14,210.16 is: 21,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.84 : 32,989.68 = 14,210.16 : x
  2. Step 2: Convert to fraction form
    22,017.84/32,989.68 = 14,210.16/x
  3. Step 3: Cross multiply
    22,017.84x = 32,989.68 × 14,210.16
  4. Step 4: Simplify right side
    22,017.84x = 468,788,631.15
  5. Step 5: Solve for x
    x = 468,788,631.15/22,017.84
  6. Step 6: Final answer
    x = 21,291.31

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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.