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Finding the Fourth Proportional to 13,952.58, 19,263.60 and 9,702.24

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Solution

The fourth proportional to 13,952.58, 19,263.60 and 9,702.24 is: 13,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.58 : 19,263.60 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    13,952.58/19,263.60 = 9,702.24/x
  3. Step 3: Cross multiply
    13,952.58x = 19,263.60 × 9,702.24
  4. Step 4: Simplify right side
    13,952.58x = 186,900,070.46
  5. Step 5: Solve for x
    x = 186,900,070.46/13,952.58
  6. Step 6: Final answer
    x = 13,395.38

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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.