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Finding the Fourth Proportional to 14,017.86, 19,345.23 and 7,730.64

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Solution

The fourth proportional to 14,017.86, 19,345.23 and 7,730.64 is: 10,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.86 : 19,345.23 = 7,730.64 : x
  2. Step 2: Convert to fraction form
    14,017.86/19,345.23 = 7,730.64/x
  3. Step 3: Cross multiply
    14,017.86x = 19,345.23 × 7,730.64
  4. Step 4: Simplify right side
    14,017.86x = 149,551,008.85
  5. Step 5: Solve for x
    x = 149,551,008.85/14,017.86
  6. Step 6: Final answer
    x = 10,668.60

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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.