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Finding the Fourth Proportional to 23,302.94, 32,160.30 and 14,355.68

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Solution

The fourth proportional to 23,302.94, 32,160.30 and 14,355.68 is: 19,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.94 : 32,160.30 = 14,355.68 : x
  2. Step 2: Convert to fraction form
    23,302.94/32,160.30 = 14,355.68/x
  3. Step 3: Cross multiply
    23,302.94x = 32,160.30 × 14,355.68
  4. Step 4: Simplify right side
    23,302.94x = 461,683,002.07
  5. Step 5: Solve for x
    x = 461,683,002.07/23,302.94
  6. Step 6: Final answer
    x = 19,812.22

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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.