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Finding the Fourth Proportional to 12,909.51, 19,365.48 and 5,116.50

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Solution

The fourth proportional to 12,909.51, 19,365.48 and 5,116.50 is: 7,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.51 : 19,365.48 = 5,116.50 : x
  2. Step 2: Convert to fraction form
    12,909.51/19,365.48 = 5,116.50/x
  3. Step 3: Cross multiply
    12,909.51x = 19,365.48 × 5,116.50
  4. Step 4: Simplify right side
    12,909.51x = 99,083,478.42
  5. Step 5: Solve for x
    x = 99,083,478.42/12,909.51
  6. Step 6: Final answer
    x = 7,675.23

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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.