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Finding the Fourth Proportional to 13,135.94, 19,588.23 and 13,017.48

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Solution

The fourth proportional to 13,135.94, 19,588.23 and 13,017.48 is: 19,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.94 : 19,588.23 = 13,017.48 : x
  2. Step 2: Convert to fraction form
    13,135.94/19,588.23 = 13,017.48/x
  3. Step 3: Cross multiply
    13,135.94x = 19,588.23 × 13,017.48
  4. Step 4: Simplify right side
    13,135.94x = 254,989,318.80
  5. Step 5: Solve for x
    x = 254,989,318.80/13,135.94
  6. Step 6: Final answer
    x = 19,411.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.