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Finding the Fourth Proportional to 25,303, 34,918.68 and 14,125

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Solution

The fourth proportional to 25,303, 34,918.68 and 14,125 is: 19,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,303 : 34,918.68 = 14,125 : x
  2. Step 2: Convert to fraction form
    25,303/34,918.68 = 14,125/x
  3. Step 3: Cross multiply
    25,303x = 34,918.68 × 14,125
  4. Step 4: Simplify right side
    25,303x = 493,226,355
  5. Step 5: Solve for x
    x = 493,226,355/25,303
  6. Step 6: Final answer
    x = 19,492.80

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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.