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Finding the Fourth Proportional to 14,594.34, 21,902.31 and 10,854.66

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Solution

The fourth proportional to 14,594.34, 21,902.31 and 10,854.66 is: 16,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.34 : 21,902.31 = 10,854.66 : x
  2. Step 2: Convert to fraction form
    14,594.34/21,902.31 = 10,854.66/x
  3. Step 3: Cross multiply
    14,594.34x = 21,902.31 × 10,854.66
  4. Step 4: Simplify right side
    14,594.34x = 237,742,128.26
  5. Step 5: Solve for x
    x = 237,742,128.26/14,594.34
  6. Step 6: Final answer
    x = 16,290.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.