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Finding the Fourth Proportional to 21,354.34, 32,038.35 and 9,664.42

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Solution

The fourth proportional to 21,354.34, 32,038.35 and 9,664.42 is: 14,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.34 : 32,038.35 = 9,664.42 : x
  2. Step 2: Convert to fraction form
    21,354.34/32,038.35 = 9,664.42/x
  3. Step 3: Cross multiply
    21,354.34x = 32,038.35 × 9,664.42
  4. Step 4: Simplify right side
    21,354.34x = 309,632,070.51
  5. Step 5: Solve for x
    x = 309,632,070.51/21,354.34
  6. Step 6: Final answer
    x = 14,499.73

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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.