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Finding the Fourth Proportional to 14,141.32, 19,506.05 and 8,688

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Solution

The fourth proportional to 14,141.32, 19,506.05 and 8,688 is: 11,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.32 : 19,506.05 = 8,688 : x
  2. Step 2: Convert to fraction form
    14,141.32/19,506.05 = 8,688/x
  3. Step 3: Cross multiply
    14,141.32x = 19,506.05 × 8,688
  4. Step 4: Simplify right side
    14,141.32x = 169,468,562.40
  5. Step 5: Solve for x
    x = 169,468,562.40/14,141.32
  6. Step 6: Final answer
    x = 11,983.93

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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.