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Finding the Fourth Proportional to 14,098.46, 19,456.18 and 7,810.86

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Solution

The fourth proportional to 14,098.46, 19,456.18 and 7,810.86 is: 10,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.46 : 19,456.18 = 7,810.86 : x
  2. Step 2: Convert to fraction form
    14,098.46/19,456.18 = 7,810.86/x
  3. Step 3: Cross multiply
    14,098.46x = 19,456.18 × 7,810.86
  4. Step 4: Simplify right side
    14,098.46x = 151,969,498.11
  5. Step 5: Solve for x
    x = 151,969,498.11/14,098.46
  6. Step 6: Final answer
    x = 10,779.16

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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.