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Finding the Fourth Proportional to 21,678.66, 32,522.58 and 7,638.12

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Solution

The fourth proportional to 21,678.66, 32,522.58 and 7,638.12 is: 11,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.66 : 32,522.58 = 7,638.12 : x
  2. Step 2: Convert to fraction form
    21,678.66/32,522.58 = 7,638.12/x
  3. Step 3: Cross multiply
    21,678.66x = 32,522.58 × 7,638.12
  4. Step 4: Simplify right side
    21,678.66x = 248,411,368.75
  5. Step 5: Solve for x
    x = 248,411,368.75/21,678.66
  6. Step 6: Final answer
    x = 11,458.80

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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.