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Finding the Fourth Proportional to 19,645.48, 29,473.72 and 6,507.10

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Solution

The fourth proportional to 19,645.48, 29,473.72 and 6,507.10 is: 9,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.48 : 29,473.72 = 6,507.10 : x
  2. Step 2: Convert to fraction form
    19,645.48/29,473.72 = 6,507.10/x
  3. Step 3: Cross multiply
    19,645.48x = 29,473.72 × 6,507.10
  4. Step 4: Simplify right side
    19,645.48x = 191,788,443.41
  5. Step 5: Solve for x
    x = 191,788,443.41/19,645.48
  6. Step 6: Final answer
    x = 9,762.47

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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.