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Finding the Fourth Proportional to 21,335.90, 32,000.16 and 9,646.40

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Solution

The fourth proportional to 21,335.90, 32,000.16 and 9,646.40 is: 14,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.90 : 32,000.16 = 9,646.40 : x
  2. Step 2: Convert to fraction form
    21,335.90/32,000.16 = 9,646.40/x
  3. Step 3: Cross multiply
    21,335.90x = 32,000.16 × 9,646.40
  4. Step 4: Simplify right side
    21,335.90x = 308,686,343.42
  5. Step 5: Solve for x
    x = 308,686,343.42/21,335.90
  6. Step 6: Final answer
    x = 14,467.93

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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.