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Finding the Fourth Proportional to 14,130.06, 19,498.71 and 7,842.06

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Solution

The fourth proportional to 14,130.06, 19,498.71 and 7,842.06 is: 10,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.06 : 19,498.71 = 7,842.06 : x
  2. Step 2: Convert to fraction form
    14,130.06/19,498.71 = 7,842.06/x
  3. Step 3: Cross multiply
    14,130.06x = 19,498.71 × 7,842.06
  4. Step 4: Simplify right side
    14,130.06x = 152,910,053.74
  5. Step 5: Solve for x
    x = 152,910,053.74/14,130.06
  6. Step 6: Final answer
    x = 10,821.61

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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.