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Finding the Fourth Proportional to 19,534.10, 26,957.03 and 10,581.64

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Solution

The fourth proportional to 19,534.10, 26,957.03 and 10,581.64 is: 14,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.10 : 26,957.03 = 10,581.64 : x
  2. Step 2: Convert to fraction form
    19,534.10/26,957.03 = 10,581.64/x
  3. Step 3: Cross multiply
    19,534.10x = 26,957.03 × 10,581.64
  4. Step 4: Simplify right side
    19,534.10x = 285,249,466.63
  5. Step 5: Solve for x
    x = 285,249,466.63/19,534.10
  6. Step 6: Final answer
    x = 14,602.65

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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.