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Finding the Fourth Proportional to 22,658.34, 31,264.92 and 13,094.67

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Solution

The fourth proportional to 22,658.34, 31,264.92 and 13,094.67 is: 18,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.34 : 31,264.92 = 13,094.67 : x
  2. Step 2: Convert to fraction form
    22,658.34/31,264.92 = 13,094.67/x
  3. Step 3: Cross multiply
    22,658.34x = 31,264.92 × 13,094.67
  4. Step 4: Simplify right side
    22,658.34x = 409,403,809.98
  5. Step 5: Solve for x
    x = 409,403,809.98/22,658.34
  6. Step 6: Final answer
    x = 18,068.57

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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.