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Finding the Fourth Proportional to 23,875.86, 32,952.75 and 13,810.42

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Solution

The fourth proportional to 23,875.86, 32,952.75 and 13,810.42 is: 19,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.86 : 32,952.75 = 13,810.42 : x
  2. Step 2: Convert to fraction form
    23,875.86/32,952.75 = 13,810.42/x
  3. Step 3: Cross multiply
    23,875.86x = 32,952.75 × 13,810.42
  4. Step 4: Simplify right side
    23,875.86x = 455,091,332.95
  5. Step 5: Solve for x
    x = 455,091,332.95/23,875.86
  6. Step 6: Final answer
    x = 19,060.73

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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.