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Finding the Fourth Proportional to 39,505.95, 59,261.94 and 13,210.74

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Solution

The fourth proportional to 39,505.95, 59,261.94 and 13,210.74 is: 19,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505.95 : 59,261.94 = 13,210.74 : x
  2. Step 2: Convert to fraction form
    39,505.95/59,261.94 = 13,210.74/x
  3. Step 3: Cross multiply
    39,505.95x = 59,261.94 × 13,210.74
  4. Step 4: Simplify right side
    39,505.95x = 782,894,081.24
  5. Step 5: Solve for x
    x = 782,894,081.24/39,505.95
  6. Step 6: Final answer
    x = 19,817.12

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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.