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Finding the Fourth Proportional to 14,312.96, 19,751.42 and 8,646.72

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Solution

The fourth proportional to 14,312.96, 19,751.42 and 8,646.72 is: 11,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.96 : 19,751.42 = 8,646.72 : x
  2. Step 2: Convert to fraction form
    14,312.96/19,751.42 = 8,646.72/x
  3. Step 3: Cross multiply
    14,312.96x = 19,751.42 × 8,646.72
  4. Step 4: Simplify right side
    14,312.96x = 170,784,955.11
  5. Step 5: Solve for x
    x = 170,784,955.11/14,312.96
  6. Step 6: Final answer
    x = 11,932.19

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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.