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Finding the Fourth Proportional to 21,698.84, 32,547.91 and 6,907.54

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Solution

The fourth proportional to 21,698.84, 32,547.91 and 6,907.54 is: 10,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.84 : 32,547.91 = 6,907.54 : x
  2. Step 2: Convert to fraction form
    21,698.84/32,547.91 = 6,907.54/x
  3. Step 3: Cross multiply
    21,698.84x = 32,547.91 × 6,907.54
  4. Step 4: Simplify right side
    21,698.84x = 224,825,990.24
  5. Step 5: Solve for x
    x = 224,825,990.24/21,698.84
  6. Step 6: Final answer
    x = 10,361.20

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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.