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Finding the Fourth Proportional to 29,829, 44,710.71 and 12,289.26

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Solution

The fourth proportional to 29,829, 44,710.71 and 12,289.26 is: 18,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829 : 44,710.71 = 12,289.26 : x
  2. Step 2: Convert to fraction form
    29,829/44,710.71 = 12,289.26/x
  3. Step 3: Cross multiply
    29,829x = 44,710.71 × 12,289.26
  4. Step 4: Simplify right side
    29,829x = 549,461,539.97
  5. Step 5: Solve for x
    x = 549,461,539.97/29,829
  6. Step 6: Final answer
    x = 18,420.38

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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.