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Finding the Fourth Proportional to 27,547, 38,014.58 and 14,971.80

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Solution

The fourth proportional to 27,547, 38,014.58 and 14,971.80 is: 20,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547 : 38,014.58 = 14,971.80 : x
  2. Step 2: Convert to fraction form
    27,547/38,014.58 = 14,971.80/x
  3. Step 3: Cross multiply
    27,547x = 38,014.58 × 14,971.80
  4. Step 4: Simplify right side
    27,547x = 569,146,688.84
  5. Step 5: Solve for x
    x = 569,146,688.84/27,547
  6. Step 6: Final answer
    x = 20,660.93

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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.