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Finding the Fourth Proportional to 19,646.74, 29,459.34 and 7,788.50

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Solution

The fourth proportional to 19,646.74, 29,459.34 and 7,788.50 is: 11,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.74 : 29,459.34 = 7,788.50 : x
  2. Step 2: Convert to fraction form
    19,646.74/29,459.34 = 7,788.50/x
  3. Step 3: Cross multiply
    19,646.74x = 29,459.34 × 7,788.50
  4. Step 4: Simplify right side
    19,646.74x = 229,444,069.59
  5. Step 5: Solve for x
    x = 229,444,069.59/19,646.74
  6. Step 6: Final answer
    x = 11,678.48

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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.