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Finding the Fourth Proportional to 23,615.88, 32,590.92 and 13,547.16

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Solution

The fourth proportional to 23,615.88, 32,590.92 and 13,547.16 is: 18,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.88 : 32,590.92 = 13,547.16 : x
  2. Step 2: Convert to fraction form
    23,615.88/32,590.92 = 13,547.16/x
  3. Step 3: Cross multiply
    23,615.88x = 32,590.92 × 13,547.16
  4. Step 4: Simplify right side
    23,615.88x = 441,514,407.79
  5. Step 5: Solve for x
    x = 441,514,407.79/23,615.88
  6. Step 6: Final answer
    x = 18,695.66

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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.