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Finding the Fourth Proportional to 19,547.34, 29,326.48 and 6,408.96

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Solution

The fourth proportional to 19,547.34, 29,326.48 and 6,408.96 is: 9,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.34 : 29,326.48 = 6,408.96 : x
  2. Step 2: Convert to fraction form
    19,547.34/29,326.48 = 6,408.96/x
  3. Step 3: Cross multiply
    19,547.34x = 29,326.48 × 6,408.96
  4. Step 4: Simplify right side
    19,547.34x = 187,952,237.26
  5. Step 5: Solve for x
    x = 187,952,237.26/19,547.34
  6. Step 6: Final answer
    x = 9,615.23

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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.