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Finding the Fourth Proportional to 16,430.68, 22,676.94 and 10,465

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Solution

The fourth proportional to 16,430.68, 22,676.94 and 10,465 is: 14,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.68 : 22,676.94 = 10,465 : x
  2. Step 2: Convert to fraction form
    16,430.68/22,676.94 = 10,465/x
  3. Step 3: Cross multiply
    16,430.68x = 22,676.94 × 10,465
  4. Step 4: Simplify right side
    16,430.68x = 237,314,177.10
  5. Step 5: Solve for x
    x = 237,314,177.10/16,430.68
  6. Step 6: Final answer
    x = 14,443.36

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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.