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Finding the Fourth Proportional to 12,534.55, 17,258.22 and 10,642.39

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Solution

The fourth proportional to 12,534.55, 17,258.22 and 10,642.39 is: 14,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.55 : 17,258.22 = 10,642.39 : x
  2. Step 2: Convert to fraction form
    12,534.55/17,258.22 = 10,642.39/x
  3. Step 3: Cross multiply
    12,534.55x = 17,258.22 × 10,642.39
  4. Step 4: Simplify right side
    12,534.55x = 183,668,707.95
  5. Step 5: Solve for x
    x = 183,668,707.95/12,534.55
  6. Step 6: Final answer
    x = 14,653.00

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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.