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Finding the Fourth Proportional to 14,313.76, 19,752.96 and 8,026

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Solution

The fourth proportional to 14,313.76, 19,752.96 and 8,026 is: 11,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.76 : 19,752.96 = 8,026 : x
  2. Step 2: Convert to fraction form
    14,313.76/19,752.96 = 8,026/x
  3. Step 3: Cross multiply
    14,313.76x = 19,752.96 × 8,026
  4. Step 4: Simplify right side
    14,313.76x = 158,537,256.96
  5. Step 5: Solve for x
    x = 158,537,256.96/14,313.76
  6. Step 6: Final answer
    x = 11,075.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.