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Finding the Fourth Proportional to 14,509.77, 20,024.06 and 8,541.15

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Solution

The fourth proportional to 14,509.77, 20,024.06 and 8,541.15 is: 11,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.77 : 20,024.06 = 8,541.15 : x
  2. Step 2: Convert to fraction form
    14,509.77/20,024.06 = 8,541.15/x
  3. Step 3: Cross multiply
    14,509.77x = 20,024.06 × 8,541.15
  4. Step 4: Simplify right side
    14,509.77x = 171,028,457.36
  5. Step 5: Solve for x
    x = 171,028,457.36/14,509.77
  6. Step 6: Final answer
    x = 11,787.12

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1.5x scale

Why These Related Problems?

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