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Finding the Fourth Proportional to 22,506.63, 31,059.14 and 12,570.63

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Solution

The fourth proportional to 22,506.63, 31,059.14 and 12,570.63 is: 17,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.63 : 31,059.14 = 12,570.63 : x
  2. Step 2: Convert to fraction form
    22,506.63/31,059.14 = 12,570.63/x
  3. Step 3: Cross multiply
    22,506.63x = 31,059.14 × 12,570.63
  4. Step 4: Simplify right side
    22,506.63x = 390,432,957.06
  5. Step 5: Solve for x
    x = 390,432,957.06/22,506.63
  6. Step 6: Final answer
    x = 17,347.46

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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.