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Finding the Fourth Proportional to 18,923.94, 26,115.04 and 10,970.77

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Solution

The fourth proportional to 18,923.94, 26,115.04 and 10,970.77 is: 15,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923.94 : 26,115.04 = 10,970.77 : x
  2. Step 2: Convert to fraction form
    18,923.94/26,115.04 = 10,970.77/x
  3. Step 3: Cross multiply
    18,923.94x = 26,115.04 × 10,970.77
  4. Step 4: Simplify right side
    18,923.94x = 286,502,097.38
  5. Step 5: Solve for x
    x = 286,502,097.38/18,923.94
  6. Step 6: Final answer
    x = 15,139.66

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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.