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Finding the Fourth Proportional to 15,698.68, 23,547.74 and 6,338.46

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Solution

The fourth proportional to 15,698.68, 23,547.74 and 6,338.46 is: 9,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.68 : 23,547.74 = 6,338.46 : x
  2. Step 2: Convert to fraction form
    15,698.68/23,547.74 = 6,338.46/x
  3. Step 3: Cross multiply
    15,698.68x = 23,547.74 × 6,338.46
  4. Step 4: Simplify right side
    15,698.68x = 149,256,408.08
  5. Step 5: Solve for x
    x = 149,256,408.08/15,698.68
  6. Step 6: Final answer
    x = 9,507.58

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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.