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Finding the Fourth Proportional to 25,465.66, 35,140.68 and 14,285.50

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Solution

The fourth proportional to 25,465.66, 35,140.68 and 14,285.50 is: 19,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.66 : 35,140.68 = 14,285.50 : x
  2. Step 2: Convert to fraction form
    25,465.66/35,140.68 = 14,285.50/x
  3. Step 3: Cross multiply
    25,465.66x = 35,140.68 × 14,285.50
  4. Step 4: Simplify right side
    25,465.66x = 502,002,184.14
  5. Step 5: Solve for x
    x = 502,002,184.14/25,465.66
  6. Step 6: Final answer
    x = 19,712.91

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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.