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Finding the Fourth Proportional to 19,547.46, 29,322.51 and 9,684.09

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Solution

The fourth proportional to 19,547.46, 29,322.51 and 9,684.09 is: 14,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.46 : 29,322.51 = 9,684.09 : x
  2. Step 2: Convert to fraction form
    19,547.46/29,322.51 = 9,684.09/x
  3. Step 3: Cross multiply
    19,547.46x = 29,322.51 × 9,684.09
  4. Step 4: Simplify right side
    19,547.46x = 283,961,825.87
  5. Step 5: Solve for x
    x = 283,961,825.87/19,547.46
  6. Step 6: Final answer
    x = 14,526.79

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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.