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Finding the Fourth Proportional to 14,313.71, 19,752.47 and 8,345.63

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Solution

The fourth proportional to 14,313.71, 19,752.47 and 8,345.63 is: 11,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.71 : 19,752.47 = 8,345.63 : x
  2. Step 2: Convert to fraction form
    14,313.71/19,752.47 = 8,345.63/x
  3. Step 3: Cross multiply
    14,313.71x = 19,752.47 × 8,345.63
  4. Step 4: Simplify right side
    14,313.71x = 164,846,665.72
  5. Step 5: Solve for x
    x = 164,846,665.72/14,313.71
  6. Step 6: Final answer
    x = 11,516.70

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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.