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Finding the Fourth Proportional to 25,547.61, 35,252.64 and 14,214.23

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Solution

The fourth proportional to 25,547.61, 35,252.64 and 14,214.23 is: 19,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.61 : 35,252.64 = 14,214.23 : x
  2. Step 2: Convert to fraction form
    25,547.61/35,252.64 = 14,214.23/x
  3. Step 3: Cross multiply
    25,547.61x = 35,252.64 × 14,214.23
  4. Step 4: Simplify right side
    25,547.61x = 501,088,956.80
  5. Step 5: Solve for x
    x = 501,088,956.80/25,547.61
  6. Step 6: Final answer
    x = 19,613.93

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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.