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Finding the Fourth Proportional to 21,646.32, 32,477.64 and 7,607.40

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Solution

The fourth proportional to 21,646.32, 32,477.64 and 7,607.40 is: 11,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.32 : 32,477.64 = 7,607.40 : x
  2. Step 2: Convert to fraction form
    21,646.32/32,477.64 = 7,607.40/x
  3. Step 3: Cross multiply
    21,646.32x = 32,477.64 × 7,607.40
  4. Step 4: Simplify right side
    21,646.32x = 247,070,398.54
  5. Step 5: Solve for x
    x = 247,070,398.54/21,646.32
  6. Step 6: Final answer
    x = 11,413.97

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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.