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Finding the Fourth Proportional to 19,053.16, 26,270.13 and 14,002

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Solution

The fourth proportional to 19,053.16, 26,270.13 and 14,002 is: 19,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,053.16 : 26,270.13 = 14,002 : x
  2. Step 2: Convert to fraction form
    19,053.16/26,270.13 = 14,002/x
  3. Step 3: Cross multiply
    19,053.16x = 26,270.13 × 14,002
  4. Step 4: Simplify right side
    19,053.16x = 367,834,360.26
  5. Step 5: Solve for x
    x = 367,834,360.26/19,053.16
  6. Step 6: Final answer
    x = 19,305.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.