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Finding the Fourth Proportional to 22,414.94, 30,931.40 and 12,341.48

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Solution

The fourth proportional to 22,414.94, 30,931.40 and 12,341.48 is: 17,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.94 : 30,931.40 = 12,341.48 : x
  2. Step 2: Convert to fraction form
    22,414.94/30,931.40 = 12,341.48/x
  3. Step 3: Cross multiply
    22,414.94x = 30,931.40 × 12,341.48
  4. Step 4: Simplify right side
    22,414.94x = 381,739,038.11
  5. Step 5: Solve for x
    x = 381,739,038.11/22,414.94
  6. Step 6: Final answer
    x = 17,030.57

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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.