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Finding the Fourth Proportional to 24,477.61, 36,717.02 and 8,681.93

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Solution

The fourth proportional to 24,477.61, 36,717.02 and 8,681.93 is: 13,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.61 : 36,717.02 = 8,681.93 : x
  2. Step 2: Convert to fraction form
    24,477.61/36,717.02 = 8,681.93/x
  3. Step 3: Cross multiply
    24,477.61x = 36,717.02 × 8,681.93
  4. Step 4: Simplify right side
    24,477.61x = 318,774,710.95
  5. Step 5: Solve for x
    x = 318,774,710.95/24,477.61
  6. Step 6: Final answer
    x = 13,023.12

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Why These Related Problems?

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