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Finding the Fourth Proportional to 14,477.16, 19,975.04 and 8,811.84

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Solution

The fourth proportional to 14,477.16, 19,975.04 and 8,811.84 is: 12,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.16 : 19,975.04 = 8,811.84 : x
  2. Step 2: Convert to fraction form
    14,477.16/19,975.04 = 8,811.84/x
  3. Step 3: Cross multiply
    14,477.16x = 19,975.04 × 8,811.84
  4. Step 4: Simplify right side
    14,477.16x = 176,016,812.41
  5. Step 5: Solve for x
    x = 176,016,812.41/14,477.16
  6. Step 6: Final answer
    x = 12,158.24

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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.