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Finding the Fourth Proportional to 21,424.86, 32,133.24 and 7,384.32

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Solution

The fourth proportional to 21,424.86, 32,133.24 and 7,384.32 is: 11,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.86 : 32,133.24 = 7,384.32 : x
  2. Step 2: Convert to fraction form
    21,424.86/32,133.24 = 7,384.32/x
  3. Step 3: Cross multiply
    21,424.86x = 32,133.24 × 7,384.32
  4. Step 4: Simplify right side
    21,424.86x = 237,282,126.80
  5. Step 5: Solve for x
    x = 237,282,126.80/21,424.86
  6. Step 6: Final answer
    x = 11,075.08

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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.