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Finding the Fourth Proportional to 21,064.64, 29,068.80 and 11,633

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Solution

The fourth proportional to 21,064.64, 29,068.80 and 11,633 is: 16,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.64 : 29,068.80 = 11,633 : x
  2. Step 2: Convert to fraction form
    21,064.64/29,068.80 = 11,633/x
  3. Step 3: Cross multiply
    21,064.64x = 29,068.80 × 11,633
  4. Step 4: Simplify right side
    21,064.64x = 338,157,350.40
  5. Step 5: Solve for x
    x = 338,157,350.40/21,064.64
  6. Step 6: Final answer
    x = 16,053.32

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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.