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Finding the Fourth Proportional to 19,412.85, 29,130.36 and 7,565.13

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Solution

The fourth proportional to 19,412.85, 29,130.36 and 7,565.13 is: 11,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.85 : 29,130.36 = 7,565.13 : x
  2. Step 2: Convert to fraction form
    19,412.85/29,130.36 = 7,565.13/x
  3. Step 3: Cross multiply
    19,412.85x = 29,130.36 × 7,565.13
  4. Step 4: Simplify right side
    19,412.85x = 220,374,960.35
  5. Step 5: Solve for x
    x = 220,374,960.35/19,412.85
  6. Step 6: Final answer
    x = 11,352.01

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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.