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Finding the Fourth Proportional to 19,499.48, 26,909.20 and 10,547

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Solution

The fourth proportional to 19,499.48, 26,909.20 and 10,547 is: 14,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,499.48 : 26,909.20 = 10,547 : x
  2. Step 2: Convert to fraction form
    19,499.48/26,909.20 = 10,547/x
  3. Step 3: Cross multiply
    19,499.48x = 26,909.20 × 10,547
  4. Step 4: Simplify right side
    19,499.48x = 283,811,332.40
  5. Step 5: Solve for x
    x = 283,811,332.40/19,499.48
  6. Step 6: Final answer
    x = 14,554.82

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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.