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Finding the Fourth Proportional to 25,476.16, 35,155.16 and 14,296

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Solution

The fourth proportional to 25,476.16, 35,155.16 and 14,296 is: 19,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.16 : 35,155.16 = 14,296 : x
  2. Step 2: Convert to fraction form
    25,476.16/35,155.16 = 14,296/x
  3. Step 3: Cross multiply
    25,476.16x = 35,155.16 × 14,296
  4. Step 4: Simplify right side
    25,476.16x = 502,578,167.36
  5. Step 5: Solve for x
    x = 502,578,167.36/25,476.16
  6. Step 6: Final answer
    x = 19,727.39

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Why These Related Problems?

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