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Finding the Fourth Proportional to 22,071, 30,457.98 and 12,135

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Solution

The fourth proportional to 22,071, 30,457.98 and 12,135 is: 16,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071 : 30,457.98 = 12,135 : x
  2. Step 2: Convert to fraction form
    22,071/30,457.98 = 12,135/x
  3. Step 3: Cross multiply
    22,071x = 30,457.98 × 12,135
  4. Step 4: Simplify right side
    22,071x = 369,607,587.30
  5. Step 5: Solve for x
    x = 369,607,587.30/22,071
  6. Step 6: Final answer
    x = 16,746.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.