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Finding the Fourth Proportional to 14,407.72, 19,886.42 and 9,385.72

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Solution

The fourth proportional to 14,407.72, 19,886.42 and 9,385.72 is: 12,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.72 : 19,886.42 = 9,385.72 : x
  2. Step 2: Convert to fraction form
    14,407.72/19,886.42 = 9,385.72/x
  3. Step 3: Cross multiply
    14,407.72x = 19,886.42 × 9,385.72
  4. Step 4: Simplify right side
    14,407.72x = 186,648,369.92
  5. Step 5: Solve for x
    x = 186,648,369.92/14,407.72
  6. Step 6: Final answer
    x = 12,954.75

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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.