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Finding the Fourth Proportional to 25,477.29, 35,159.25 and 14,146.50

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Solution

The fourth proportional to 25,477.29, 35,159.25 and 14,146.50 is: 19,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.29 : 35,159.25 = 14,146.50 : x
  2. Step 2: Convert to fraction form
    25,477.29/35,159.25 = 14,146.50/x
  3. Step 3: Cross multiply
    25,477.29x = 35,159.25 × 14,146.50
  4. Step 4: Simplify right side
    25,477.29x = 497,380,330.13
  5. Step 5: Solve for x
    x = 497,380,330.13/25,477.29
  6. Step 6: Final answer
    x = 19,522.50

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