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Finding the Fourth Proportional to 26,130, 36,059.40 and 14,354

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Solution

The fourth proportional to 26,130, 36,059.40 and 14,354 is: 19,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,130 : 36,059.40 = 14,354 : x
  2. Step 2: Convert to fraction form
    26,130/36,059.40 = 14,354/x
  3. Step 3: Cross multiply
    26,130x = 36,059.40 × 14,354
  4. Step 4: Simplify right side
    26,130x = 517,596,627.60
  5. Step 5: Solve for x
    x = 517,596,627.60/26,130
  6. Step 6: Final answer
    x = 19,808.52

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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.