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Finding the Fourth Proportional to 21,533.68, 32,298.66 and 7,490.08

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Solution

The fourth proportional to 21,533.68, 32,298.66 and 7,490.08 is: 11,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.68 : 32,298.66 = 7,490.08 : x
  2. Step 2: Convert to fraction form
    21,533.68/32,298.66 = 7,490.08/x
  3. Step 3: Cross multiply
    21,533.68x = 32,298.66 × 7,490.08
  4. Step 4: Simplify right side
    21,533.68x = 241,919,547.29
  5. Step 5: Solve for x
    x = 241,919,547.29/21,533.68
  6. Step 6: Final answer
    x = 11,234.47

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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.