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Finding the Fourth Proportional to 25,153.95, 34,710.77 and 13,823.20

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Solution

The fourth proportional to 25,153.95, 34,710.77 and 13,823.20 is: 19,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.95 : 34,710.77 = 13,823.20 : x
  2. Step 2: Convert to fraction form
    25,153.95/34,710.77 = 13,823.20/x
  3. Step 3: Cross multiply
    25,153.95x = 34,710.77 × 13,823.20
  4. Step 4: Simplify right side
    25,153.95x = 479,813,831.39
  5. Step 5: Solve for x
    x = 479,813,831.39/25,153.95
  6. Step 6: Final answer
    x = 19,075.09

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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.