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Finding the Fourth Proportional to 25,437, 35,106.30 and 14,259

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Solution

The fourth proportional to 25,437, 35,106.30 and 14,259 is: 19,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,437 : 35,106.30 = 14,259 : x
  2. Step 2: Convert to fraction form
    25,437/35,106.30 = 14,259/x
  3. Step 3: Cross multiply
    25,437x = 35,106.30 × 14,259
  4. Step 4: Simplify right side
    25,437x = 500,580,731.70
  5. Step 5: Solve for x
    x = 500,580,731.70/25,437
  6. Step 6: Final answer
    x = 19,679.24

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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.