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Finding the Fourth Proportional to 25,363, 35,001.06 and 14,185

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Solution

The fourth proportional to 25,363, 35,001.06 and 14,185 is: 19,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363 : 35,001.06 = 14,185 : x
  2. Step 2: Convert to fraction form
    25,363/35,001.06 = 14,185/x
  3. Step 3: Cross multiply
    25,363x = 35,001.06 × 14,185
  4. Step 4: Simplify right side
    25,363x = 496,490,036.10
  5. Step 5: Solve for x
    x = 496,490,036.10/25,363
  6. Step 6: Final answer
    x = 19,575.37

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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.