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Finding the Fourth Proportional to 14,973.71, 20,663.74 and 8,259.77

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Solution

The fourth proportional to 14,973.71, 20,663.74 and 8,259.77 is: 11,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.71 : 20,663.74 = 8,259.77 : x
  2. Step 2: Convert to fraction form
    14,973.71/20,663.74 = 8,259.77/x
  3. Step 3: Cross multiply
    14,973.71x = 20,663.74 × 8,259.77
  4. Step 4: Simplify right side
    14,973.71x = 170,677,636.42
  5. Step 5: Solve for x
    x = 170,677,636.42/14,973.71
  6. Step 6: Final answer
    x = 11,398.49

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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.