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Finding the Fourth Proportional to 15,444.51, 23,165.85 and 7,543.98

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Solution

The fourth proportional to 15,444.51, 23,165.85 and 7,543.98 is: 11,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444.51 : 23,165.85 = 7,543.98 : x
  2. Step 2: Convert to fraction form
    15,444.51/23,165.85 = 7,543.98/x
  3. Step 3: Cross multiply
    15,444.51x = 23,165.85 × 7,543.98
  4. Step 4: Simplify right side
    15,444.51x = 174,762,709.08
  5. Step 5: Solve for x
    x = 174,762,709.08/15,444.51
  6. Step 6: Final answer
    x = 11,315.52

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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.