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Finding the Fourth Proportional to 22,492.47, 31,039.74 and 12,420.72

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Solution

The fourth proportional to 22,492.47, 31,039.74 and 12,420.72 is: 17,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.47 : 31,039.74 = 12,420.72 : x
  2. Step 2: Convert to fraction form
    22,492.47/31,039.74 = 12,420.72/x
  3. Step 3: Cross multiply
    22,492.47x = 31,039.74 × 12,420.72
  4. Step 4: Simplify right side
    22,492.47x = 385,535,919.41
  5. Step 5: Solve for x
    x = 385,535,919.41/22,492.47
  6. Step 6: Final answer
    x = 17,140.67

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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.