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Finding the Fourth Proportional to 15,783.18, 21,779.94 and 9,814.68

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Solution

The fourth proportional to 15,783.18, 21,779.94 and 9,814.68 is: 13,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.18 : 21,779.94 = 9,814.68 : x
  2. Step 2: Convert to fraction form
    15,783.18/21,779.94 = 9,814.68/x
  3. Step 3: Cross multiply
    15,783.18x = 21,779.94 × 9,814.68
  4. Step 4: Simplify right side
    15,783.18x = 213,763,141.52
  5. Step 5: Solve for x
    x = 213,763,141.52/15,783.18
  6. Step 6: Final answer
    x = 13,543.73

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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.