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Finding the Fourth Proportional to 34,707.40, 52,065.90 and 13,643.40

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Solution

The fourth proportional to 34,707.40, 52,065.90 and 13,643.40 is: 20,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,707.40 : 52,065.90 = 13,643.40 : x
  2. Step 2: Convert to fraction form
    34,707.40/52,065.90 = 13,643.40/x
  3. Step 3: Cross multiply
    34,707.40x = 52,065.90 × 13,643.40
  4. Step 4: Simplify right side
    34,707.40x = 710,355,900.06
  5. Step 5: Solve for x
    x = 710,355,900.06/34,707.40
  6. Step 6: Final answer
    x = 20,466.99

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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.