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Finding the Fourth Proportional to 25,376, 35,018.88 and 14,200.16

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Solution

The fourth proportional to 25,376, 35,018.88 and 14,200.16 is: 19,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376 : 35,018.88 = 14,200.16 : x
  2. Step 2: Convert to fraction form
    25,376/35,018.88 = 14,200.16/x
  3. Step 3: Cross multiply
    25,376x = 35,018.88 × 14,200.16
  4. Step 4: Simplify right side
    25,376x = 497,273,699.02
  5. Step 5: Solve for x
    x = 497,273,699.02/25,376
  6. Step 6: Final answer
    x = 19,596.22

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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.