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Finding the Fourth Proportional to 12,557, 18,814.69 and 6,303.80

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Solution

The fourth proportional to 12,557, 18,814.69 and 6,303.80 is: 9,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557 : 18,814.69 = 6,303.80 : x
  2. Step 2: Convert to fraction form
    12,557/18,814.69 = 6,303.80/x
  3. Step 3: Cross multiply
    12,557x = 18,814.69 × 6,303.80
  4. Step 4: Simplify right side
    12,557x = 118,604,042.82
  5. Step 5: Solve for x
    x = 118,604,042.82/12,557
  6. Step 6: Final answer
    x = 9,445.25

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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.