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Finding the Fourth Proportional to 23,264.16, 32,104.71 and 12,653.88

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Solution

The fourth proportional to 23,264.16, 32,104.71 and 12,653.88 is: 17,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.16 : 32,104.71 = 12,653.88 : x
  2. Step 2: Convert to fraction form
    23,264.16/32,104.71 = 12,653.88/x
  3. Step 3: Cross multiply
    23,264.16x = 32,104.71 × 12,653.88
  4. Step 4: Simplify right side
    23,264.16x = 406,249,147.77
  5. Step 5: Solve for x
    x = 406,249,147.77/23,264.16
  6. Step 6: Final answer
    x = 17,462.45

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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.