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Finding the Fourth Proportional to 21,567.36, 32,356.80 and 7,720.32

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Solution

The fourth proportional to 21,567.36, 32,356.80 and 7,720.32 is: 11,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.36 : 32,356.80 = 7,720.32 : x
  2. Step 2: Convert to fraction form
    21,567.36/32,356.80 = 7,720.32/x
  3. Step 3: Cross multiply
    21,567.36x = 32,356.80 × 7,720.32
  4. Step 4: Simplify right side
    21,567.36x = 249,804,850.18
  5. Step 5: Solve for x
    x = 249,804,850.18/21,567.36
  6. Step 6: Final answer
    x = 11,582.54

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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.