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Finding the Fourth Proportional to 25,314, 34,933.35 and 14,136

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Solution

The fourth proportional to 25,314, 34,933.35 and 14,136 is: 19,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314 : 34,933.35 = 14,136 : x
  2. Step 2: Convert to fraction form
    25,314/34,933.35 = 14,136/x
  3. Step 3: Cross multiply
    25,314x = 34,933.35 × 14,136
  4. Step 4: Simplify right side
    25,314x = 493,817,835.60
  5. Step 5: Solve for x
    x = 493,817,835.60/25,314
  6. Step 6: Final answer
    x = 19,507.70

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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.