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Finding the Fourth Proportional to 14,762.64, 20,360.93 and 9,457.95

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Solution

The fourth proportional to 14,762.64, 20,360.93 and 9,457.95 is: 13,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.64 : 20,360.93 = 9,457.95 : x
  2. Step 2: Convert to fraction form
    14,762.64/20,360.93 = 9,457.95/x
  3. Step 3: Cross multiply
    14,762.64x = 20,360.93 × 9,457.95
  4. Step 4: Simplify right side
    14,762.64x = 192,572,610.60
  5. Step 5: Solve for x
    x = 192,572,610.60/14,762.64
  6. Step 6: Final answer
    x = 13,044.59

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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.