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Finding the Fourth Proportional to 17,821.71, 26,712.77 and 9,038.48

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Solution

The fourth proportional to 17,821.71, 26,712.77 and 9,038.48 is: 13,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.71 : 26,712.77 = 9,038.48 : x
  2. Step 2: Convert to fraction form
    17,821.71/26,712.77 = 9,038.48/x
  3. Step 3: Cross multiply
    17,821.71x = 26,712.77 × 9,038.48
  4. Step 4: Simplify right side
    17,821.71x = 241,442,658.63
  5. Step 5: Solve for x
    x = 241,442,658.63/17,821.71
  6. Step 6: Final answer
    x = 13,547.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.