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Finding the Fourth Proportional to 21,365.66, 32,051.52 and 6,575.81

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Solution

The fourth proportional to 21,365.66, 32,051.52 and 6,575.81 is: 9,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.66 : 32,051.52 = 6,575.81 : x
  2. Step 2: Convert to fraction form
    21,365.66/32,051.52 = 6,575.81/x
  3. Step 3: Cross multiply
    21,365.66x = 32,051.52 × 6,575.81
  4. Step 4: Simplify right side
    21,365.66x = 210,764,545.47
  5. Step 5: Solve for x
    x = 210,764,545.47/21,365.66
  6. Step 6: Final answer
    x = 9,864.64

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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.