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Finding the Fourth Proportional to 19,746.15, 29,624.41 and 7,097.18

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Solution

The fourth proportional to 19,746.15, 29,624.41 and 7,097.18 is: 10,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746.15 : 29,624.41 = 7,097.18 : x
  2. Step 2: Convert to fraction form
    19,746.15/29,624.41 = 7,097.18/x
  3. Step 3: Cross multiply
    19,746.15x = 29,624.41 × 7,097.18
  4. Step 4: Simplify right side
    19,746.15x = 210,249,742.00
  5. Step 5: Solve for x
    x = 210,249,742.00/19,746.15
  6. Step 6: Final answer
    x = 10,647.63

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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.