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Finding the Fourth Proportional to 16,023.46, 24,038.76 and 4,931.14

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Solution

The fourth proportional to 16,023.46, 24,038.76 and 4,931.14 is: 7,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.46 : 24,038.76 = 4,931.14 : x
  2. Step 2: Convert to fraction form
    16,023.46/24,038.76 = 4,931.14/x
  3. Step 3: Cross multiply
    16,023.46x = 24,038.76 × 4,931.14
  4. Step 4: Simplify right side
    16,023.46x = 118,538,490.99
  5. Step 5: Solve for x
    x = 118,538,490.99/16,023.46
  6. Step 6: Final answer
    x = 7,397.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.