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Finding the Fourth Proportional to 22,985, 31,718.50 and 14,047.46

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Solution

The fourth proportional to 22,985, 31,718.50 and 14,047.46 is: 19,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985 : 31,718.50 = 14,047.46 : x
  2. Step 2: Convert to fraction form
    22,985/31,718.50 = 14,047.46/x
  3. Step 3: Cross multiply
    22,985x = 31,718.50 × 14,047.46
  4. Step 4: Simplify right side
    22,985x = 445,564,360.01
  5. Step 5: Solve for x
    x = 445,564,360.01/22,985
  6. Step 6: Final answer
    x = 19,385.01

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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.