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Finding the Fourth Proportional to 14,566.32, 20,128.76 and 12,411.68

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Solution

The fourth proportional to 14,566.32, 20,128.76 and 12,411.68 is: 17,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.32 : 20,128.76 = 12,411.68 : x
  2. Step 2: Convert to fraction form
    14,566.32/20,128.76 = 12,411.68/x
  3. Step 3: Cross multiply
    14,566.32x = 20,128.76 × 12,411.68
  4. Step 4: Simplify right side
    14,566.32x = 249,831,727.92
  5. Step 5: Solve for x
    x = 249,831,727.92/14,566.32
  6. Step 6: Final answer
    x = 17,151.33

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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.