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Finding the Fourth Proportional to 25,653, 35,401.14 and 14,475

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Solution

The fourth proportional to 25,653, 35,401.14 and 14,475 is: 19,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653 : 35,401.14 = 14,475 : x
  2. Step 2: Convert to fraction form
    25,653/35,401.14 = 14,475/x
  3. Step 3: Cross multiply
    25,653x = 35,401.14 × 14,475
  4. Step 4: Simplify right side
    25,653x = 512,431,501.50
  5. Step 5: Solve for x
    x = 512,431,501.50/25,653
  6. Step 6: Final answer
    x = 19,975.50

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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.