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Finding the Fourth Proportional to 24,643.10, 34,005.88 and 14,032.64

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Solution

The fourth proportional to 24,643.10, 34,005.88 and 14,032.64 is: 19,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.10 : 34,005.88 = 14,032.64 : x
  2. Step 2: Convert to fraction form
    24,643.10/34,005.88 = 14,032.64/x
  3. Step 3: Cross multiply
    24,643.10x = 34,005.88 × 14,032.64
  4. Step 4: Simplify right side
    24,643.10x = 477,192,271.92
  5. Step 5: Solve for x
    x = 477,192,271.92/24,643.10
  6. Step 6: Final answer
    x = 19,364.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.