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Finding the Fourth Proportional to 16,259.31, 22,430.40 and 14,263.86

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Solution

The fourth proportional to 16,259.31, 22,430.40 and 14,263.86 is: 19,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.31 : 22,430.40 = 14,263.86 : x
  2. Step 2: Convert to fraction form
    16,259.31/22,430.40 = 14,263.86/x
  3. Step 3: Cross multiply
    16,259.31x = 22,430.40 × 14,263.86
  4. Step 4: Simplify right side
    16,259.31x = 319,944,085.34
  5. Step 5: Solve for x
    x = 319,944,085.34/16,259.31
  6. Step 6: Final answer
    x = 19,677.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.