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Finding the Fourth Proportional to 19,486.17, 29,224.40 and 7,642.35

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Solution

The fourth proportional to 19,486.17, 29,224.40 and 7,642.35 is: 11,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486.17 : 29,224.40 = 7,642.35 : x
  2. Step 2: Convert to fraction form
    19,486.17/29,224.40 = 7,642.35/x
  3. Step 3: Cross multiply
    19,486.17x = 29,224.40 × 7,642.35
  4. Step 4: Simplify right side
    19,486.17x = 223,343,055.13
  5. Step 5: Solve for x
    x = 223,343,055.13/19,486.17
  6. Step 6: Final answer
    x = 11,461.62

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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.