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Finding the Fourth Proportional to 24,309.86, 33,547.65 and 14,102.87

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Solution

The fourth proportional to 24,309.86, 33,547.65 and 14,102.87 is: 19,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.86 : 33,547.65 = 14,102.87 : x
  2. Step 2: Convert to fraction form
    24,309.86/33,547.65 = 14,102.87/x
  3. Step 3: Cross multiply
    24,309.86x = 33,547.65 × 14,102.87
  4. Step 4: Simplify right side
    24,309.86x = 473,118,146.76
  5. Step 5: Solve for x
    x = 473,118,146.76/24,309.86
  6. Step 6: Final answer
    x = 19,461.99

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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.