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Finding the Fourth Proportional to 15,762.51, 23,642.33 and 9,184.59

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Solution

The fourth proportional to 15,762.51, 23,642.33 and 9,184.59 is: 13,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.51 : 23,642.33 = 9,184.59 : x
  2. Step 2: Convert to fraction form
    15,762.51/23,642.33 = 9,184.59/x
  3. Step 3: Cross multiply
    15,762.51x = 23,642.33 × 9,184.59
  4. Step 4: Simplify right side
    15,762.51x = 217,145,061.77
  5. Step 5: Solve for x
    x = 217,145,061.77/15,762.51
  6. Step 6: Final answer
    x = 13,776.05

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