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Finding the Fourth Proportional to 23,685.40, 32,686.50 and 14,257

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Solution

The fourth proportional to 23,685.40, 32,686.50 and 14,257 is: 19,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.40 : 32,686.50 = 14,257 : x
  2. Step 2: Convert to fraction form
    23,685.40/32,686.50 = 14,257/x
  3. Step 3: Cross multiply
    23,685.40x = 32,686.50 × 14,257
  4. Step 4: Simplify right side
    23,685.40x = 466,011,430.50
  5. Step 5: Solve for x
    x = 466,011,430.50/23,685.40
  6. Step 6: Final answer
    x = 19,675.05

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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.