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Finding the Fourth Proportional to 14,946.40, 22,357.16 and 10,503.76

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Solution

The fourth proportional to 14,946.40, 22,357.16 and 10,503.76 is: 15,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.40 : 22,357.16 = 10,503.76 : x
  2. Step 2: Convert to fraction form
    14,946.40/22,357.16 = 10,503.76/x
  3. Step 3: Cross multiply
    14,946.40x = 22,357.16 × 10,503.76
  4. Step 4: Simplify right side
    14,946.40x = 234,834,242.92
  5. Step 5: Solve for x
    x = 234,834,242.92/14,946.40
  6. Step 6: Final answer
    x = 15,711.76

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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.