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Finding the Fourth Proportional to 39,509.58, 59,252.02 and 13,208.18

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Solution

The fourth proportional to 39,509.58, 59,252.02 and 13,208.18 is: 19,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,509.58 : 59,252.02 = 13,208.18 : x
  2. Step 2: Convert to fraction form
    39,509.58/59,252.02 = 13,208.18/x
  3. Step 3: Cross multiply
    39,509.58x = 59,252.02 × 13,208.18
  4. Step 4: Simplify right side
    39,509.58x = 782,611,345.52
  5. Step 5: Solve for x
    x = 782,611,345.52/39,509.58
  6. Step 6: Final answer
    x = 19,808.14

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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.