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Finding the Fourth Proportional to 19,547.32, 29,317.92 and 6,399.40

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Solution

The fourth proportional to 19,547.32, 29,317.92 and 6,399.40 is: 9,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.32 : 29,317.92 = 6,399.40 : x
  2. Step 2: Convert to fraction form
    19,547.32/29,317.92 = 6,399.40/x
  3. Step 3: Cross multiply
    19,547.32x = 29,317.92 × 6,399.40
  4. Step 4: Simplify right side
    19,547.32x = 187,617,097.25
  5. Step 5: Solve for x
    x = 187,617,097.25/19,547.32
  6. Step 6: Final answer
    x = 9,598.10

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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.