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Finding the Fourth Proportional to 23,585.84, 32,548.46 and 14,154.41

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Solution

The fourth proportional to 23,585.84, 32,548.46 and 14,154.41 is: 19,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.84 : 32,548.46 = 14,154.41 : x
  2. Step 2: Convert to fraction form
    23,585.84/32,548.46 = 14,154.41/x
  3. Step 3: Cross multiply
    23,585.84x = 32,548.46 × 14,154.41
  4. Step 4: Simplify right side
    23,585.84x = 460,704,176.94
  5. Step 5: Solve for x
    x = 460,704,176.94/23,585.84
  6. Step 6: Final answer
    x = 19,533.08

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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.