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Finding the Fourth Proportional to 13,762.34, 20,643.58 and 3,374.10

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Solution

The fourth proportional to 13,762.34, 20,643.58 and 3,374.10 is: 5,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.34 : 20,643.58 = 3,374.10 : x
  2. Step 2: Convert to fraction form
    13,762.34/20,643.58 = 3,374.10/x
  3. Step 3: Cross multiply
    13,762.34x = 20,643.58 × 3,374.10
  4. Step 4: Simplify right side
    13,762.34x = 69,653,503.28
  5. Step 5: Solve for x
    x = 69,653,503.28/13,762.34
  6. Step 6: Final answer
    x = 5,061.17

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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.