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Finding the Fourth Proportional to 14,117.86, 19,486.47 and 8,809.54

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Solution

The fourth proportional to 14,117.86, 19,486.47 and 8,809.54 is: 12,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.86 : 19,486.47 = 8,809.54 : x
  2. Step 2: Convert to fraction form
    14,117.86/19,486.47 = 8,809.54/x
  3. Step 3: Cross multiply
    14,117.86x = 19,486.47 × 8,809.54
  4. Step 4: Simplify right side
    14,117.86x = 171,666,836.92
  5. Step 5: Solve for x
    x = 171,666,836.92/14,117.86
  6. Step 6: Final answer
    x = 12,159.55

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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.