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Finding the Fourth Proportional to 17,216, 23,762.13 and 10,507.18

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Solution

The fourth proportional to 17,216, 23,762.13 and 10,507.18 is: 14,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216 : 23,762.13 = 10,507.18 : x
  2. Step 2: Convert to fraction form
    17,216/23,762.13 = 10,507.18/x
  3. Step 3: Cross multiply
    17,216x = 23,762.13 × 10,507.18
  4. Step 4: Simplify right side
    17,216x = 249,672,977.09
  5. Step 5: Solve for x
    x = 249,672,977.09/17,216
  6. Step 6: Final answer
    x = 14,502.38

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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.