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Finding the Fourth Proportional to 46,386.86, 69,572.28 and 13,099.14

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Solution

The fourth proportional to 46,386.86, 69,572.28 and 13,099.14 is: 19,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386.86 : 69,572.28 = 13,099.14 : x
  2. Step 2: Convert to fraction form
    46,386.86/69,572.28 = 13,099.14/x
  3. Step 3: Cross multiply
    46,386.86x = 69,572.28 × 13,099.14
  4. Step 4: Simplify right side
    46,386.86x = 911,337,035.84
  5. Step 5: Solve for x
    x = 911,337,035.84/46,386.86
  6. Step 6: Final answer
    x = 19,646.45

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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.