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Finding the Fourth Proportional to 21,398.16, 32,045.40 and 14,805.84

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Solution

The fourth proportional to 21,398.16, 32,045.40 and 14,805.84 is: 22,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.16 : 32,045.40 = 14,805.84 : x
  2. Step 2: Convert to fraction form
    21,398.16/32,045.40 = 14,805.84/x
  3. Step 3: Cross multiply
    21,398.16x = 32,045.40 × 14,805.84
  4. Step 4: Simplify right side
    21,398.16x = 474,459,065.14
  5. Step 5: Solve for x
    x = 474,459,065.14/21,398.16
  6. Step 6: Final answer
    x = 22,172.89

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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.