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Finding the Fourth Proportional to 19,637.34, 29,463.86 and 7,158.25

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Solution

The fourth proportional to 19,637.34, 29,463.86 and 7,158.25 is: 10,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.34 : 29,463.86 = 7,158.25 : x
  2. Step 2: Convert to fraction form
    19,637.34/29,463.86 = 7,158.25/x
  3. Step 3: Cross multiply
    19,637.34x = 29,463.86 × 7,158.25
  4. Step 4: Simplify right side
    19,637.34x = 210,909,675.85
  5. Step 5: Solve for x
    x = 210,909,675.85/19,637.34
  6. Step 6: Final answer
    x = 10,740.24

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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.