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Finding the Fourth Proportional to 23,045.99, 31,807.35 and 13,354.00

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Solution

The fourth proportional to 23,045.99, 31,807.35 and 13,354.00 is: 18,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.99 : 31,807.35 = 13,354.00 : x
  2. Step 2: Convert to fraction form
    23,045.99/31,807.35 = 13,354.00/x
  3. Step 3: Cross multiply
    23,045.99x = 31,807.35 × 13,354.00
  4. Step 4: Simplify right side
    23,045.99x = 424,755,272.38
  5. Step 5: Solve for x
    x = 424,755,272.38/23,045.99
  6. Step 6: Final answer
    x = 18,430.77

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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.