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Finding the Fourth Proportional to 26,394, 36,421.98 and 14,457.48

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Solution

The fourth proportional to 26,394, 36,421.98 and 14,457.48 is: 19,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,394 : 36,421.98 = 14,457.48 : x
  2. Step 2: Convert to fraction form
    26,394/36,421.98 = 14,457.48/x
  3. Step 3: Cross multiply
    26,394x = 36,421.98 × 14,457.48
  4. Step 4: Simplify right side
    26,394x = 526,570,047.41
  5. Step 5: Solve for x
    x = 526,570,047.41/26,394
  6. Step 6: Final answer
    x = 19,950.37

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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.