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Finding the Fourth Proportional to 23,465.76, 32,392.89 and 14,032.50

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Solution

The fourth proportional to 23,465.76, 32,392.89 and 14,032.50 is: 19,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.76 : 32,392.89 = 14,032.50 : x
  2. Step 2: Convert to fraction form
    23,465.76/32,392.89 = 14,032.50/x
  3. Step 3: Cross multiply
    23,465.76x = 32,392.89 × 14,032.50
  4. Step 4: Simplify right side
    23,465.76x = 454,553,228.93
  5. Step 5: Solve for x
    x = 454,553,228.93/23,465.76
  6. Step 6: Final answer
    x = 19,370.91

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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.