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Finding the Fourth Proportional to 21,697.34, 32,547.15 and 6,907.41

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Solution

The fourth proportional to 21,697.34, 32,547.15 and 6,907.41 is: 10,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.34 : 32,547.15 = 6,907.41 : x
  2. Step 2: Convert to fraction form
    21,697.34/32,547.15 = 6,907.41/x
  3. Step 3: Cross multiply
    21,697.34x = 32,547.15 × 6,907.41
  4. Step 4: Simplify right side
    21,697.34x = 224,816,509.38
  5. Step 5: Solve for x
    x = 224,816,509.38/21,697.34
  6. Step 6: Final answer
    x = 10,361.48

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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.