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Finding the Fourth Proportional to 14,191.95, 19,577.45 and 10,828.93

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Solution

The fourth proportional to 14,191.95, 19,577.45 and 10,828.93 is: 14,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.95 : 19,577.45 = 10,828.93 : x
  2. Step 2: Convert to fraction form
    14,191.95/19,577.45 = 10,828.93/x
  3. Step 3: Cross multiply
    14,191.95x = 19,577.45 × 10,828.93
  4. Step 4: Simplify right side
    14,191.95x = 212,002,835.63
  5. Step 5: Solve for x
    x = 212,002,835.63/14,191.95
  6. Step 6: Final answer
    x = 14,938.25

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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.