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Finding the Fourth Proportional to 15,492.80, 21,386.16 and 10,460

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Solution

The fourth proportional to 15,492.80, 21,386.16 and 10,460 is: 14,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.80 : 21,386.16 = 10,460 : x
  2. Step 2: Convert to fraction form
    15,492.80/21,386.16 = 10,460/x
  3. Step 3: Cross multiply
    15,492.80x = 21,386.16 × 10,460
  4. Step 4: Simplify right side
    15,492.80x = 223,699,233.60
  5. Step 5: Solve for x
    x = 223,699,233.60/15,492.80
  6. Step 6: Final answer
    x = 14,438.92

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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.