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Finding the Fourth Proportional to 14,547.23, 21,780.18 and 7,859.77

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Solution

The fourth proportional to 14,547.23, 21,780.18 and 7,859.77 is: 11,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.23 : 21,780.18 = 7,859.77 : x
  2. Step 2: Convert to fraction form
    14,547.23/21,780.18 = 7,859.77/x
  3. Step 3: Cross multiply
    14,547.23x = 21,780.18 × 7,859.77
  4. Step 4: Simplify right side
    14,547.23x = 171,187,180.38
  5. Step 5: Solve for x
    x = 171,187,180.38/14,547.23
  6. Step 6: Final answer
    x = 11,767.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.