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Finding the Fourth Proportional to 12,415.48, 18,598.58 and 7,486.52

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Solution

The fourth proportional to 12,415.48, 18,598.58 and 7,486.52 is: 11,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.48 : 18,598.58 = 7,486.52 : x
  2. Step 2: Convert to fraction form
    12,415.48/18,598.58 = 7,486.52/x
  3. Step 3: Cross multiply
    12,415.48x = 18,598.58 × 7,486.52
  4. Step 4: Simplify right side
    12,415.48x = 139,238,641.14
  5. Step 5: Solve for x
    x = 139,238,641.14/12,415.48
  6. Step 6: Final answer
    x = 11,214.92

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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.