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Finding the Fourth Proportional to 14,362.16, 21,543.24 and 6,565.50

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Solution

The fourth proportional to 14,362.16, 21,543.24 and 6,565.50 is: 9,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.16 : 21,543.24 = 6,565.50 : x
  2. Step 2: Convert to fraction form
    14,362.16/21,543.24 = 6,565.50/x
  3. Step 3: Cross multiply
    14,362.16x = 21,543.24 × 6,565.50
  4. Step 4: Simplify right side
    14,362.16x = 141,442,142.22
  5. Step 5: Solve for x
    x = 141,442,142.22/14,362.16
  6. Step 6: Final answer
    x = 9,848.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.